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Finding the Fourth Proportional to 65,542, 98,312.88 and 18,794.88

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Solution

The fourth proportional to 65,542, 98,312.88 and 18,794.88 is: 28,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,542 : 98,312.88 = 18,794.88 : x
  2. Step 2: Convert to fraction form
    65,542/98,312.88 = 18,794.88/x
  3. Step 3: Cross multiply
    65,542x = 98,312.88 × 18,794.88
  4. Step 4: Simplify right side
    65,542x = 1,847,778,782.05
  5. Step 5: Solve for x
    x = 1,847,778,782.05/65,542
  6. Step 6: Final answer
    x = 28,192.29

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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.