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Finding the Fourth Proportional to 48,509.38, 72,658.62 and 29,732.74

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Solution

The fourth proportional to 48,509.38, 72,658.62 and 29,732.74 is: 44,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,509.38 : 72,658.62 = 29,732.74 : x
  2. Step 2: Convert to fraction form
    48,509.38/72,658.62 = 29,732.74/x
  3. Step 3: Cross multiply
    48,509.38x = 72,658.62 × 29,732.74
  4. Step 4: Simplify right side
    48,509.38x = 2,160,339,857.22
  5. Step 5: Solve for x
    x = 2,160,339,857.22/48,509.38
  6. Step 6: Final answer
    x = 44,534.48

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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.