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Finding the Fourth Proportional to 54,997.92, 75,897.09 and 31,124.16

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Solution

The fourth proportional to 54,997.92, 75,897.09 and 31,124.16 is: 42,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997.92 : 75,897.09 = 31,124.16 : x
  2. Step 2: Convert to fraction form
    54,997.92/75,897.09 = 31,124.16/x
  3. Step 3: Cross multiply
    54,997.92x = 75,897.09 × 31,124.16
  4. Step 4: Simplify right side
    54,997.92x = 2,362,233,172.69
  5. Step 5: Solve for x
    x = 2,362,233,172.69/54,997.92
  6. Step 6: Final answer
    x = 42,951.32

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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.