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Finding the Fourth Proportional to 32,789.38, 49,172 and 11,723.74

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Solution

The fourth proportional to 32,789.38, 49,172 and 11,723.74 is: 17,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,789.38 : 49,172 = 11,723.74 : x
  2. Step 2: Convert to fraction form
    32,789.38/49,172 = 11,723.74/x
  3. Step 3: Cross multiply
    32,789.38x = 49,172 × 11,723.74
  4. Step 4: Simplify right side
    32,789.38x = 576,479,743.28
  5. Step 5: Solve for x
    x = 576,479,743.28/32,789.38
  6. Step 6: Final answer
    x = 17,581.29

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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.