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Finding the Fourth Proportional to 54,587.92, 75,335.76 and 30,713.20

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Solution

The fourth proportional to 54,587.92, 75,335.76 and 30,713.20 is: 42,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,587.92 : 75,335.76 = 30,713.20 : x
  2. Step 2: Convert to fraction form
    54,587.92/75,335.76 = 30,713.20/x
  3. Step 3: Cross multiply
    54,587.92x = 75,335.76 × 30,713.20
  4. Step 4: Simplify right side
    54,587.92x = 2,313,802,264.03
  5. Step 5: Solve for x
    x = 2,313,802,264.03/54,587.92
  6. Step 6: Final answer
    x = 42,386.71

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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.