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Finding the Fourth Proportional to 32,781.92, 49,129.34 and 13,049.64

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Solution

The fourth proportional to 32,781.92, 49,129.34 and 13,049.64 is: 19,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.92 : 49,129.34 = 13,049.64 : x
  2. Step 2: Convert to fraction form
    32,781.92/49,129.34 = 13,049.64/x
  3. Step 3: Cross multiply
    32,781.92x = 49,129.34 × 13,049.64
  4. Step 4: Simplify right side
    32,781.92x = 641,120,135.19
  5. Step 5: Solve for x
    x = 641,120,135.19/32,781.92
  6. Step 6: Final answer
    x = 19,557.13

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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.