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Finding the Fourth Proportional to 32,375.90, 48,535.07 and 12,649.97

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Solution

The fourth proportional to 32,375.90, 48,535.07 and 12,649.97 is: 18,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.90 : 48,535.07 = 12,649.97 : x
  2. Step 2: Convert to fraction form
    32,375.90/48,535.07 = 12,649.97/x
  3. Step 3: Cross multiply
    32,375.90x = 48,535.07 × 12,649.97
  4. Step 4: Simplify right side
    32,375.90x = 613,966,873.52
  5. Step 5: Solve for x
    x = 613,966,873.52/32,375.90
  6. Step 6: Final answer
    x = 18,963.70

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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.