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Finding the Fourth Proportional to 52,957.84, 73,081.92 and 29,086.06

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Solution

The fourth proportional to 52,957.84, 73,081.92 and 29,086.06 is: 40,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.84 : 73,081.92 = 29,086.06 : x
  2. Step 2: Convert to fraction form
    52,957.84/73,081.92 = 29,086.06/x
  3. Step 3: Cross multiply
    52,957.84x = 73,081.92 × 29,086.06
  4. Step 4: Simplify right side
    52,957.84x = 2,125,665,110.04
  5. Step 5: Solve for x
    x = 2,125,665,110.04/52,957.84
  6. Step 6: Final answer
    x = 40,138.82

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