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Finding the Fourth Proportional to 32,372.35, 48,564.65 and 12,649.66

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Solution

The fourth proportional to 32,372.35, 48,564.65 and 12,649.66 is: 18,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,372.35 : 48,564.65 = 12,649.66 : x
  2. Step 2: Convert to fraction form
    32,372.35/48,564.65 = 12,649.66/x
  3. Step 3: Cross multiply
    32,372.35x = 48,564.65 × 12,649.66
  4. Step 4: Simplify right side
    32,372.35x = 614,326,310.52
  5. Step 5: Solve for x
    x = 614,326,310.52/32,372.35
  6. Step 6: Final answer
    x = 18,976.88

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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.