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Finding the Fourth Proportional to 54,405.92, 75,080.96 and 30,531.20

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Solution

The fourth proportional to 54,405.92, 75,080.96 and 30,531.20 is: 42,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,405.92 : 75,080.96 = 30,531.20 : x
  2. Step 2: Convert to fraction form
    54,405.92/75,080.96 = 30,531.20/x
  3. Step 3: Cross multiply
    54,405.92x = 75,080.96 × 30,531.20
  4. Step 4: Simplify right side
    54,405.92x = 2,292,311,805.95
  5. Step 5: Solve for x
    x = 2,292,311,805.95/54,405.92
  6. Step 6: Final answer
    x = 42,133.50

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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.