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Finding the Fourth Proportional to 67,116.54, 100,687.64 and 22,731.42

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Solution

The fourth proportional to 67,116.54, 100,687.64 and 22,731.42 is: 34,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,116.54 : 100,687.64 = 22,731.42 : x
  2. Step 2: Convert to fraction form
    67,116.54/100,687.64 = 22,731.42/x
  3. Step 3: Cross multiply
    67,116.54x = 100,687.64 × 22,731.42
  4. Step 4: Simplify right side
    67,116.54x = 2,288,772,919.99
  5. Step 5: Solve for x
    x = 2,288,772,919.99/67,116.54
  6. Step 6: Final answer
    x = 34,101.47

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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.