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Finding the Fourth Proportional to 38,129.20, 57,193.80 and 10,427.20

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Solution

The fourth proportional to 38,129.20, 57,193.80 and 10,427.20 is: 15,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,129.20 : 57,193.80 = 10,427.20 : x
  2. Step 2: Convert to fraction form
    38,129.20/57,193.80 = 10,427.20/x
  3. Step 3: Cross multiply
    38,129.20x = 57,193.80 × 10,427.20
  4. Step 4: Simplify right side
    38,129.20x = 596,371,191.36
  5. Step 5: Solve for x
    x = 596,371,191.36/38,129.20
  6. Step 6: Final answer
    x = 15,640.80

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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.