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Finding the Fourth Proportional to 71,460.80, 107,114.40 and 27,070.40

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Solution

The fourth proportional to 71,460.80, 107,114.40 and 27,070.40 is: 40,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,460.80 : 107,114.40 = 27,070.40 : x
  2. Step 2: Convert to fraction form
    71,460.80/107,114.40 = 27,070.40/x
  3. Step 3: Cross multiply
    71,460.80x = 107,114.40 × 27,070.40
  4. Step 4: Simplify right side
    71,460.80x = 2,899,629,653.76
  5. Step 5: Solve for x
    x = 2,899,629,653.76/71,460.80
  6. Step 6: Final answer
    x = 40,576.51

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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.