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Finding the Fourth Proportional to 27,562.74, 41,343.96 and 10,032.57

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Solution

The fourth proportional to 27,562.74, 41,343.96 and 10,032.57 is: 15,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.74 : 41,343.96 = 10,032.57 : x
  2. Step 2: Convert to fraction form
    27,562.74/41,343.96 = 10,032.57/x
  3. Step 3: Cross multiply
    27,562.74x = 41,343.96 × 10,032.57
  4. Step 4: Simplify right side
    27,562.74x = 414,786,172.78
  5. Step 5: Solve for x
    x = 414,786,172.78/27,562.74
  6. Step 6: Final answer
    x = 15,048.80

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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.