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Finding the Fourth Proportional to 54,741.52, 75,543.36 and 29,591

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Solution

The fourth proportional to 54,741.52, 75,543.36 and 29,591 is: 40,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741.52 : 75,543.36 = 29,591 : x
  2. Step 2: Convert to fraction form
    54,741.52/75,543.36 = 29,591/x
  3. Step 3: Cross multiply
    54,741.52x = 75,543.36 × 29,591
  4. Step 4: Simplify right side
    54,741.52x = 2,235,403,565.76
  5. Step 5: Solve for x
    x = 2,235,403,565.76/54,741.52
  6. Step 6: Final answer
    x = 40,835.61

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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.