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Finding the Fourth Proportional to 61,614.68, 85,029.23 and 34,757.72

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Solution

The fourth proportional to 61,614.68, 85,029.23 and 34,757.72 is: 47,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,614.68 : 85,029.23 = 34,757.72 : x
  2. Step 2: Convert to fraction form
    61,614.68/85,029.23 = 34,757.72/x
  3. Step 3: Cross multiply
    61,614.68x = 85,029.23 × 34,757.72
  4. Step 4: Simplify right side
    61,614.68x = 2,955,421,829.90
  5. Step 5: Solve for x
    x = 2,955,421,829.90/61,614.68
  6. Step 6: Final answer
    x = 47,966.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.