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Finding the Fourth Proportional to 70,150.98, 105,199.17 and 22,754.61

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Solution

The fourth proportional to 70,150.98, 105,199.17 and 22,754.61 is: 34,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,150.98 : 105,199.17 = 22,754.61 : x
  2. Step 2: Convert to fraction form
    70,150.98/105,199.17 = 22,754.61/x
  3. Step 3: Cross multiply
    70,150.98x = 105,199.17 × 22,754.61
  4. Step 4: Simplify right side
    70,150.98x = 2,393,766,142.56
  5. Step 5: Solve for x
    x = 2,393,766,142.56/70,150.98
  6. Step 6: Final answer
    x = 34,123.06

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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.