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Finding the Fourth Proportional to 38,102.32, 57,175.08 and 20,571.76

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Solution

The fourth proportional to 38,102.32, 57,175.08 and 20,571.76 is: 30,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.32 : 57,175.08 = 20,571.76 : x
  2. Step 2: Convert to fraction form
    38,102.32/57,175.08 = 20,571.76/x
  3. Step 3: Cross multiply
    38,102.32x = 57,175.08 × 20,571.76
  4. Step 4: Simplify right side
    38,102.32x = 1,176,192,023.74
  5. Step 5: Solve for x
    x = 1,176,192,023.74/38,102.32
  6. Step 6: Final answer
    x = 30,869.30

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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.