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Finding the Fourth Proportional to 67,124.80, 100,686.76 and 22,782.78

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Solution

The fourth proportional to 67,124.80, 100,686.76 and 22,782.78 is: 34,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,124.80 : 100,686.76 = 22,782.78 : x
  2. Step 2: Convert to fraction form
    67,124.80/100,686.76 = 22,782.78/x
  3. Step 3: Cross multiply
    67,124.80x = 100,686.76 × 22,782.78
  4. Step 4: Simplify right side
    67,124.80x = 2,293,924,301.99
  5. Step 5: Solve for x
    x = 2,293,924,301.99/67,124.80
  6. Step 6: Final answer
    x = 34,174.02

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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.