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Finding the Fourth Proportional to 83,950.98, 125,915.61 and 24,792.90

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Solution

The fourth proportional to 83,950.98, 125,915.61 and 24,792.90 is: 37,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,950.98 : 125,915.61 = 24,792.90 : x
  2. Step 2: Convert to fraction form
    83,950.98/125,915.61 = 24,792.90/x
  3. Step 3: Cross multiply
    83,950.98x = 125,915.61 × 24,792.90
  4. Step 4: Simplify right side
    83,950.98x = 3,121,813,127.17
  5. Step 5: Solve for x
    x = 3,121,813,127.17/83,950.98
  6. Step 6: Final answer
    x = 37,186.14

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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.