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Finding the Fourth Proportional to 111,722.23, 167,489.18 and 48,494.71

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Solution

The fourth proportional to 111,722.23, 167,489.18 and 48,494.71 is: 72,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,722.23 : 167,489.18 = 48,494.71 : x
  2. Step 2: Convert to fraction form
    111,722.23/167,489.18 = 48,494.71/x
  3. Step 3: Cross multiply
    111,722.23x = 167,489.18 × 48,494.71
  4. Step 4: Simplify right side
    111,722.23x = 8,122,338,132.32
  5. Step 5: Solve for x
    x = 8,122,338,132.32/111,722.23
  6. Step 6: Final answer
    x = 72,701.18

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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.