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Finding the Fourth Proportional to 54,916.31, 75,787.65 and 31,045.07

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Solution

The fourth proportional to 54,916.31, 75,787.65 and 31,045.07 is: 42,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,916.31 : 75,787.65 = 31,045.07 : x
  2. Step 2: Convert to fraction form
    54,916.31/75,787.65 = 31,045.07/x
  3. Step 3: Cross multiply
    54,916.31x = 75,787.65 × 31,045.07
  4. Step 4: Simplify right side
    54,916.31x = 2,352,832,520.45
  5. Step 5: Solve for x
    x = 2,352,832,520.45/54,916.31
  6. Step 6: Final answer
    x = 42,843.97

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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.