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Finding the Fourth Proportional to 47,532.50, 65,609.42 and 27,402.81

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Solution

The fourth proportional to 47,532.50, 65,609.42 and 27,402.81 is: 37,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,532.50 : 65,609.42 = 27,402.81 : x
  2. Step 2: Convert to fraction form
    47,532.50/65,609.42 = 27,402.81/x
  3. Step 3: Cross multiply
    47,532.50x = 65,609.42 × 27,402.81
  4. Step 4: Simplify right side
    47,532.50x = 1,797,882,470.47
  5. Step 5: Solve for x
    x = 1,797,882,470.47/47,532.50
  6. Step 6: Final answer
    x = 37,824.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.