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Finding the Fourth Proportional to 32,686.92, 48,984.02 and 13,691.09

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Solution

The fourth proportional to 32,686.92, 48,984.02 and 13,691.09 is: 20,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.92 : 48,984.02 = 13,691.09 : x
  2. Step 2: Convert to fraction form
    32,686.92/48,984.02 = 13,691.09/x
  3. Step 3: Cross multiply
    32,686.92x = 48,984.02 × 13,691.09
  4. Step 4: Simplify right side
    32,686.92x = 670,644,783.07
  5. Step 5: Solve for x
    x = 670,644,783.07/32,686.92
  6. Step 6: Final answer
    x = 20,517.22

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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.