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Finding the Fourth Proportional to 38,545.65, 57,832.67 and 27,538.96

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Solution

The fourth proportional to 38,545.65, 57,832.67 and 27,538.96 is: 41,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.65 : 57,832.67 = 27,538.96 : x
  2. Step 2: Convert to fraction form
    38,545.65/57,832.67 = 27,538.96/x
  3. Step 3: Cross multiply
    38,545.65x = 57,832.67 × 27,538.96
  4. Step 4: Simplify right side
    38,545.65x = 1,592,651,585.82
  5. Step 5: Solve for x
    x = 1,592,651,585.82/38,545.65
  6. Step 6: Final answer
    x = 41,318.58

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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.