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Finding the Fourth Proportional to 111,714.92, 167,572.41 and 32,829.15

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Solution

The fourth proportional to 111,714.92, 167,572.41 and 32,829.15 is: 49,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,714.92 : 167,572.41 = 32,829.15 : x
  2. Step 2: Convert to fraction form
    111,714.92/167,572.41 = 32,829.15/x
  3. Step 3: Cross multiply
    111,714.92x = 167,572.41 × 32,829.15
  4. Step 4: Simplify right side
    111,714.92x = 5,501,259,701.68
  5. Step 5: Solve for x
    x = 5,501,259,701.68/111,714.92
  6. Step 6: Final answer
    x = 49,243.74

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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.