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Finding the Fourth Proportional to 71,026.56, 106,539.84 and 24,279.84

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Solution

The fourth proportional to 71,026.56, 106,539.84 and 24,279.84 is: 36,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,026.56 : 106,539.84 = 24,279.84 : x
  2. Step 2: Convert to fraction form
    71,026.56/106,539.84 = 24,279.84/x
  3. Step 3: Cross multiply
    71,026.56x = 106,539.84 × 24,279.84
  4. Step 4: Simplify right side
    71,026.56x = 2,586,770,268.83
  5. Step 5: Solve for x
    x = 2,586,770,268.83/71,026.56
  6. Step 6: Final answer
    x = 36,419.76

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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.