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Finding the Fourth Proportional to 61,403.76, 84,731.18 and 34,545.71

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Solution

The fourth proportional to 61,403.76, 84,731.18 and 34,545.71 is: 47,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,403.76 : 84,731.18 = 34,545.71 : x
  2. Step 2: Convert to fraction form
    61,403.76/84,731.18 = 34,545.71/x
  3. Step 3: Cross multiply
    61,403.76x = 84,731.18 × 34,545.71
  4. Step 4: Simplify right side
    61,403.76x = 2,927,098,175.85
  5. Step 5: Solve for x
    x = 2,927,098,175.85/61,403.76
  6. Step 6: Final answer
    x = 47,669.69

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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.