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Finding the Fourth Proportional to 38,086.52, 57,129.18 and 10,384.52

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Solution

The fourth proportional to 38,086.52, 57,129.18 and 10,384.52 is: 15,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,086.52 : 57,129.18 = 10,384.52 : x
  2. Step 2: Convert to fraction form
    38,086.52/57,129.18 = 10,384.52/x
  3. Step 3: Cross multiply
    38,086.52x = 57,129.18 × 10,384.52
  4. Step 4: Simplify right side
    38,086.52x = 593,259,112.29
  5. Step 5: Solve for x
    x = 593,259,112.29/38,086.52
  6. Step 6: Final answer
    x = 15,576.62

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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.