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Finding the Fourth Proportional to 83,665.84, 125,461.92 and 39,305.20

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Solution

The fourth proportional to 83,665.84, 125,461.92 and 39,305.20 is: 58,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,665.84 : 125,461.92 = 39,305.20 : x
  2. Step 2: Convert to fraction form
    83,665.84/125,461.92 = 39,305.20/x
  3. Step 3: Cross multiply
    83,665.84x = 125,461.92 × 39,305.20
  4. Step 4: Simplify right side
    83,665.84x = 4,931,305,857.98
  5. Step 5: Solve for x
    x = 4,931,305,857.98/83,665.84
  6. Step 6: Final answer
    x = 58,940.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.