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Finding the Fourth Proportional to 32,591.80, 48,893.20 and 10,097.30

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Solution

The fourth proportional to 32,591.80, 48,893.20 and 10,097.30 is: 15,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.80 : 48,893.20 = 10,097.30 : x
  2. Step 2: Convert to fraction form
    32,591.80/48,893.20 = 10,097.30/x
  3. Step 3: Cross multiply
    32,591.80x = 48,893.20 × 10,097.30
  4. Step 4: Simplify right side
    32,591.80x = 493,689,593.12
  5. Step 5: Solve for x
    x = 493,689,593.12/32,591.80
  6. Step 6: Final answer
    x = 15,147.66

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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.