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Finding the Fourth Proportional to 71,784, 99,061.92 and 41,976

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Solution

The fourth proportional to 71,784, 99,061.92 and 41,976 is: 57,926.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784 : 99,061.92 = 41,976 : x
  2. Step 2: Convert to fraction form
    71,784/99,061.92 = 41,976/x
  3. Step 3: Cross multiply
    71,784x = 99,061.92 × 41,976
  4. Step 4: Simplify right side
    71,784x = 4,158,223,153.92
  5. Step 5: Solve for x
    x = 4,158,223,153.92/71,784
  6. Step 6: Final answer
    x = 57,926.88

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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.