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Finding the Fourth Proportional to 38,149.52, 57,219.41 and 10,071.88

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Solution

The fourth proportional to 38,149.52, 57,219.41 and 10,071.88 is: 15,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.52 : 57,219.41 = 10,071.88 : x
  2. Step 2: Convert to fraction form
    38,149.52/57,219.41 = 10,071.88/x
  3. Step 3: Cross multiply
    38,149.52x = 57,219.41 × 10,071.88
  4. Step 4: Simplify right side
    38,149.52x = 576,306,913.32
  5. Step 5: Solve for x
    x = 576,306,913.32/38,149.52
  6. Step 6: Final answer
    x = 15,106.53

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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.