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Finding the Fourth Proportional to 54,729.36, 82,134 and 42,280.56

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Solution

The fourth proportional to 54,729.36, 82,134 and 42,280.56 is: 63,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729.36 : 82,134 = 42,280.56 : x
  2. Step 2: Convert to fraction form
    54,729.36/82,134 = 42,280.56/x
  3. Step 3: Cross multiply
    54,729.36x = 82,134 × 42,280.56
  4. Step 4: Simplify right side
    54,729.36x = 3,472,671,515.04
  5. Step 5: Solve for x
    x = 3,472,671,515.04/54,729.36
  6. Step 6: Final answer
    x = 63,451.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.