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Finding the Fourth Proportional to 32,751.76, 49,138.02 and 11,691.34

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Solution

The fourth proportional to 32,751.76, 49,138.02 and 11,691.34 is: 17,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.76 : 49,138.02 = 11,691.34 : x
  2. Step 2: Convert to fraction form
    32,751.76/49,138.02 = 11,691.34/x
  3. Step 3: Cross multiply
    32,751.76x = 49,138.02 × 11,691.34
  4. Step 4: Simplify right side
    32,751.76x = 574,488,994.60
  5. Step 5: Solve for x
    x = 574,488,994.60/32,751.76
  6. Step 6: Final answer
    x = 17,540.71

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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.