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Finding the Fourth Proportional to 47,876.70, 71,826.42 and 24,125.88

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Solution

The fourth proportional to 47,876.70, 71,826.42 and 24,125.88 is: 36,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.70 : 71,826.42 = 24,125.88 : x
  2. Step 2: Convert to fraction form
    47,876.70/71,826.42 = 24,125.88/x
  3. Step 3: Cross multiply
    47,876.70x = 71,826.42 × 24,125.88
  4. Step 4: Simplify right side
    47,876.70x = 1,732,875,589.75
  5. Step 5: Solve for x
    x = 1,732,875,589.75/47,876.70
  6. Step 6: Final answer
    x = 36,194.55

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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.