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Finding the Fourth Proportional to 54,892.44, 75,756 and 31,024.08

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Solution

The fourth proportional to 54,892.44, 75,756 and 31,024.08 is: 42,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,892.44 : 75,756 = 31,024.08 : x
  2. Step 2: Convert to fraction form
    54,892.44/75,756 = 31,024.08/x
  3. Step 3: Cross multiply
    54,892.44x = 75,756 × 31,024.08
  4. Step 4: Simplify right side
    54,892.44x = 2,350,260,204.48
  5. Step 5: Solve for x
    x = 2,350,260,204.48/54,892.44
  6. Step 6: Final answer
    x = 42,815.74

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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.