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Finding the Fourth Proportional to 59,589.71, 82,213.63 and 34,077.90

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Solution

The fourth proportional to 59,589.71, 82,213.63 and 34,077.90 is: 47,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,589.71 : 82,213.63 = 34,077.90 : x
  2. Step 2: Convert to fraction form
    59,589.71/82,213.63 = 34,077.90/x
  3. Step 3: Cross multiply
    59,589.71x = 82,213.63 × 34,077.90
  4. Step 4: Simplify right side
    59,589.71x = 2,801,667,861.78
  5. Step 5: Solve for x
    x = 2,801,667,861.78/59,589.71
  6. Step 6: Final answer
    x = 47,015.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.