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Finding the Fourth Proportional to 32,305.38, 48,458.04 and 10,120.48

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Solution

The fourth proportional to 32,305.38, 48,458.04 and 10,120.48 is: 15,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.38 : 48,458.04 = 10,120.48 : x
  2. Step 2: Convert to fraction form
    32,305.38/48,458.04 = 10,120.48/x
  3. Step 3: Cross multiply
    32,305.38x = 48,458.04 × 10,120.48
  4. Step 4: Simplify right side
    32,305.38x = 490,418,624.66
  5. Step 5: Solve for x
    x = 490,418,624.66/32,305.38
  6. Step 6: Final answer
    x = 15,180.71

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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.