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Finding the Fourth Proportional to 27,812.46, 41,806.17 and 24,160.17

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Solution

The fourth proportional to 27,812.46, 41,806.17 and 24,160.17 is: 36,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.46 : 41,806.17 = 24,160.17 : x
  2. Step 2: Convert to fraction form
    27,812.46/41,806.17 = 24,160.17/x
  3. Step 3: Cross multiply
    27,812.46x = 41,806.17 × 24,160.17
  4. Step 4: Simplify right side
    27,812.46x = 1,010,044,174.25
  5. Step 5: Solve for x
    x = 1,010,044,174.25/27,812.46
  6. Step 6: Final answer
    x = 36,316.25

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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.