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Finding the Fourth Proportional to 54,882, 75,737.97 and 29,731.50

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Solution

The fourth proportional to 54,882, 75,737.97 and 29,731.50 is: 41,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 75,737.97 = 29,731.50 : x
  2. Step 2: Convert to fraction form
    54,882/75,737.97 = 29,731.50/x
  3. Step 3: Cross multiply
    54,882x = 75,737.97 × 29,731.50
  4. Step 4: Simplify right side
    54,882x = 2,251,803,455.06
  5. Step 5: Solve for x
    x = 2,251,803,455.06/54,882
  6. Step 6: Final answer
    x = 41,029.91

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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.