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Finding the Fourth Proportional to 54,419.46, 75,099.15 and 30,546.42

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Solution

The fourth proportional to 54,419.46, 75,099.15 and 30,546.42 is: 42,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419.46 : 75,099.15 = 30,546.42 : x
  2. Step 2: Convert to fraction form
    54,419.46/75,099.15 = 30,546.42/x
  3. Step 3: Cross multiply
    54,419.46x = 75,099.15 × 30,546.42
  4. Step 4: Simplify right side
    54,419.46x = 2,294,010,177.54
  5. Step 5: Solve for x
    x = 2,294,010,177.54/54,419.46
  6. Step 6: Final answer
    x = 42,154.23

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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.