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Finding the Fourth Proportional to 37,141.76, 55,711.92 and 9,062

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Solution

The fourth proportional to 37,141.76, 55,711.92 and 9,062 is: 13,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141.76 : 55,711.92 = 9,062 : x
  2. Step 2: Convert to fraction form
    37,141.76/55,711.92 = 9,062/x
  3. Step 3: Cross multiply
    37,141.76x = 55,711.92 × 9,062
  4. Step 4: Simplify right side
    37,141.76x = 504,861,419.04
  5. Step 5: Solve for x
    x = 504,861,419.04/37,141.76
  6. Step 6: Final answer
    x = 13,592.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.