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Finding the Fourth Proportional to 32,149.52, 48,187.32 and 12,419.44

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Solution

The fourth proportional to 32,149.52, 48,187.32 and 12,419.44 is: 18,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.52 : 48,187.32 = 12,419.44 : x
  2. Step 2: Convert to fraction form
    32,149.52/48,187.32 = 12,419.44/x
  3. Step 3: Cross multiply
    32,149.52x = 48,187.32 × 12,419.44
  4. Step 4: Simplify right side
    32,149.52x = 598,459,529.50
  5. Step 5: Solve for x
    x = 598,459,529.50/32,149.52
  6. Step 6: Final answer
    x = 18,614.88

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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.