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Finding the Fourth Proportional to 71,537.90, 98,731.05 and 39,717.05

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Solution

The fourth proportional to 71,537.90, 98,731.05 and 39,717.05 is: 54,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.90 : 98,731.05 = 39,717.05 : x
  2. Step 2: Convert to fraction form
    71,537.90/98,731.05 = 39,717.05/x
  3. Step 3: Cross multiply
    71,537.90x = 98,731.05 × 39,717.05
  4. Step 4: Simplify right side
    71,537.90x = 3,921,306,049.40
  5. Step 5: Solve for x
    x = 3,921,306,049.40/71,537.90
  6. Step 6: Final answer
    x = 54,814.39

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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.