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Finding the Fourth Proportional to 71,568,000.20, 107,352,000.30 and 17,715,312.20

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Solution

The fourth proportional to 71,568,000.20, 107,352,000.30 and 17,715,312.20 is: 26,572,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568,000.20 : 107,352,000.30 = 17,715,312.20 : x
  2. Step 2: Convert to fraction form
    71,568,000.20/107,352,000.30 = 17,715,312.20/x
  3. Step 3: Cross multiply
    71,568,000.20x = 107,352,000.30 × 17,715,312.20
  4. Step 4: Simplify right side
    71,568,000.20x = 1,901,774,200,608,993.50
  5. Step 5: Solve for x
    x = 1,901,774,200,608,993.50/71,568,000.20
  6. Step 6: Final answer
    x = 26,572,968.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.