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Finding the Fourth Proportional to 38,144.60, 57,216.90 and 10,442.60

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Solution

The fourth proportional to 38,144.60, 57,216.90 and 10,442.60 is: 15,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.60 : 57,216.90 = 10,442.60 : x
  2. Step 2: Convert to fraction form
    38,144.60/57,216.90 = 10,442.60/x
  3. Step 3: Cross multiply
    38,144.60x = 57,216.90 × 10,442.60
  4. Step 4: Simplify right side
    38,144.60x = 597,493,199.94
  5. Step 5: Solve for x
    x = 597,493,199.94/38,144.60
  6. Step 6: Final answer
    x = 15,663.90

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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.