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Finding the Fourth Proportional to 111,376.22, 167,079.46 and 32,489.78

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Solution

The fourth proportional to 111,376.22, 167,079.46 and 32,489.78 is: 48,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,376.22 : 167,079.46 = 32,489.78 : x
  2. Step 2: Convert to fraction form
    111,376.22/167,079.46 = 32,489.78/x
  3. Step 3: Cross multiply
    111,376.22x = 167,079.46 × 32,489.78
  4. Step 4: Simplify right side
    111,376.22x = 5,428,374,897.92
  5. Step 5: Solve for x
    x = 5,428,374,897.92/111,376.22
  6. Step 6: Final answer
    x = 48,739.08

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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.