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Finding the Fourth Proportional to 32,107.52, 48,171 and 13,396.52

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Solution

The fourth proportional to 32,107.52, 48,171 and 13,396.52 is: 20,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.52 : 48,171 = 13,396.52 : x
  2. Step 2: Convert to fraction form
    32,107.52/48,171 = 13,396.52/x
  3. Step 3: Cross multiply
    32,107.52x = 48,171 × 13,396.52
  4. Step 4: Simplify right side
    32,107.52x = 645,323,764.92
  5. Step 5: Solve for x
    x = 645,323,764.92/32,107.52
  6. Step 6: Final answer
    x = 20,098.84

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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.