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Finding the Fourth Proportional to 32,050.38, 48,080.13 and 9,865.61

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Solution

The fourth proportional to 32,050.38, 48,080.13 and 9,865.61 is: 14,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.38 : 48,080.13 = 9,865.61 : x
  2. Step 2: Convert to fraction form
    32,050.38/48,080.13 = 9,865.61/x
  3. Step 3: Cross multiply
    32,050.38x = 48,080.13 × 9,865.61
  4. Step 4: Simplify right side
    32,050.38x = 474,339,570.93
  5. Step 5: Solve for x
    x = 474,339,570.93/32,050.38
  6. Step 6: Final answer
    x = 14,799.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.