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Finding the Fourth Proportional to 54,878.72, 75,732.48 and 31,005.39

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Solution

The fourth proportional to 54,878.72, 75,732.48 and 31,005.39 is: 42,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,878.72 : 75,732.48 = 31,005.39 : x
  2. Step 2: Convert to fraction form
    54,878.72/75,732.48 = 31,005.39/x
  3. Step 3: Cross multiply
    54,878.72x = 75,732.48 × 31,005.39
  4. Step 4: Simplify right side
    54,878.72x = 2,348,115,078.07
  5. Step 5: Solve for x
    x = 2,348,115,078.07/54,878.72
  6. Step 6: Final answer
    x = 42,787.35

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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.