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Finding the Fourth Proportional to 111,602.12, 167,414.14 and 36,691.88

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Solution

The fourth proportional to 111,602.12, 167,414.14 and 36,691.88 is: 55,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,602.12 : 167,414.14 = 36,691.88 : x
  2. Step 2: Convert to fraction form
    111,602.12/167,414.14 = 36,691.88/x
  3. Step 3: Cross multiply
    111,602.12x = 167,414.14 × 36,691.88
  4. Step 4: Simplify right side
    111,602.12x = 6,142,739,535.18
  5. Step 5: Solve for x
    x = 6,142,739,535.18/111,602.12
  6. Step 6: Final answer
    x = 55,041.42

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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.