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Finding the Fourth Proportional to 38,141.30, 57,211.05 and 10,439.30

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Solution

The fourth proportional to 38,141.30, 57,211.05 and 10,439.30 is: 15,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141.30 : 57,211.05 = 10,439.30 : x
  2. Step 2: Convert to fraction form
    38,141.30/57,211.05 = 10,439.30/x
  3. Step 3: Cross multiply
    38,141.30x = 57,211.05 × 10,439.30
  4. Step 4: Simplify right side
    38,141.30x = 597,243,314.27
  5. Step 5: Solve for x
    x = 597,243,314.27/38,141.30
  6. Step 6: Final answer
    x = 15,658.70

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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.