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Finding the Fourth Proportional to 32,434.14, 48,649.88 and 10,248.78

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Solution

The fourth proportional to 32,434.14, 48,649.88 and 10,248.78 is: 15,372.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.14 : 48,649.88 = 10,248.78 : x
  2. Step 2: Convert to fraction form
    32,434.14/48,649.88 = 10,248.78/x
  3. Step 3: Cross multiply
    32,434.14x = 48,649.88 × 10,248.78
  4. Step 4: Simplify right side
    32,434.14x = 498,601,917.15
  5. Step 5: Solve for x
    x = 498,601,917.15/32,434.14
  6. Step 6: Final answer
    x = 15,372.75

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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.