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Finding the Fourth Proportional to 32,591.64, 48,850.02 and 13,843.92

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Solution

The fourth proportional to 32,591.64, 48,850.02 and 13,843.92 is: 20,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.64 : 48,850.02 = 13,843.92 : x
  2. Step 2: Convert to fraction form
    32,591.64/48,850.02 = 13,843.92/x
  3. Step 3: Cross multiply
    32,591.64x = 48,850.02 × 13,843.92
  4. Step 4: Simplify right side
    32,591.64x = 676,275,768.88
  5. Step 5: Solve for x
    x = 676,275,768.88/32,591.64
  6. Step 6: Final answer
    x = 20,749.98

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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.