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Finding the Fourth Proportional to 54,138.68, 74,712.42 and 30,267.08

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Solution

The fourth proportional to 54,138.68, 74,712.42 and 30,267.08 is: 41,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138.68 : 74,712.42 = 30,267.08 : x
  2. Step 2: Convert to fraction form
    54,138.68/74,712.42 = 30,267.08/x
  3. Step 3: Cross multiply
    54,138.68x = 74,712.42 × 30,267.08
  4. Step 4: Simplify right side
    54,138.68x = 2,261,326,793.13
  5. Step 5: Solve for x
    x = 2,261,326,793.13/54,138.68
  6. Step 6: Final answer
    x = 41,769.15

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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.