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Finding the Fourth Proportional to 38,125.20, 57,187.80 and 10,423.20

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Solution

The fourth proportional to 38,125.20, 57,187.80 and 10,423.20 is: 15,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,125.20 : 57,187.80 = 10,423.20 : x
  2. Step 2: Convert to fraction form
    38,125.20/57,187.80 = 10,423.20/x
  3. Step 3: Cross multiply
    38,125.20x = 57,187.80 × 10,423.20
  4. Step 4: Simplify right side
    38,125.20x = 596,079,876.96
  5. Step 5: Solve for x
    x = 596,079,876.96/38,125.20
  6. Step 6: Final answer
    x = 15,634.80

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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.