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Finding the Fourth Proportional to 32,149.26, 48,223.92 and 8,775.90

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Solution

The fourth proportional to 32,149.26, 48,223.92 and 8,775.90 is: 13,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.26 : 48,223.92 = 8,775.90 : x
  2. Step 2: Convert to fraction form
    32,149.26/48,223.92 = 8,775.90/x
  3. Step 3: Cross multiply
    32,149.26x = 48,223.92 × 8,775.90
  4. Step 4: Simplify right side
    32,149.26x = 423,208,299.53
  5. Step 5: Solve for x
    x = 423,208,299.53/32,149.26
  6. Step 6: Final answer
    x = 13,163.86

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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.