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Finding the Fourth Proportional to 67,126.80, 100,689.76 and 22,784.78

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Solution

The fourth proportional to 67,126.80, 100,689.76 and 22,784.78 is: 34,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,126.80 : 100,689.76 = 22,784.78 : x
  2. Step 2: Convert to fraction form
    67,126.80/100,689.76 = 22,784.78/x
  3. Step 3: Cross multiply
    67,126.80x = 100,689.76 × 22,784.78
  4. Step 4: Simplify right side
    67,126.80x = 2,294,194,029.85
  5. Step 5: Solve for x
    x = 2,294,194,029.85/67,126.80
  6. Step 6: Final answer
    x = 34,177.02

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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.