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Finding the Fourth Proportional to 38,295.20, 57,442.80 and 12,002.60

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Solution

The fourth proportional to 38,295.20, 57,442.80 and 12,002.60 is: 18,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.20 : 57,442.80 = 12,002.60 : x
  2. Step 2: Convert to fraction form
    38,295.20/57,442.80 = 12,002.60/x
  3. Step 3: Cross multiply
    38,295.20x = 57,442.80 × 12,002.60
  4. Step 4: Simplify right side
    38,295.20x = 689,462,951.28
  5. Step 5: Solve for x
    x = 689,462,951.28/38,295.20
  6. Step 6: Final answer
    x = 18,003.90

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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.