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Finding the Fourth Proportional to 54,038.57, 74,572.94 and 31,383.13

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Solution

The fourth proportional to 54,038.57, 74,572.94 and 31,383.13 is: 43,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,038.57 : 74,572.94 = 31,383.13 : x
  2. Step 2: Convert to fraction form
    54,038.57/74,572.94 = 31,383.13/x
  3. Step 3: Cross multiply
    54,038.57x = 74,572.94 × 31,383.13
  4. Step 4: Simplify right side
    54,038.57x = 2,340,332,162.53
  5. Step 5: Solve for x
    x = 2,340,332,162.53/54,038.57
  6. Step 6: Final answer
    x = 43,308.55

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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.