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Finding the Fourth Proportional to 41,876.46, 62,826.06 and 12,294.06

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Solution

The fourth proportional to 41,876.46, 62,826.06 and 12,294.06 is: 18,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,876.46 : 62,826.06 = 12,294.06 : x
  2. Step 2: Convert to fraction form
    41,876.46/62,826.06 = 12,294.06/x
  3. Step 3: Cross multiply
    41,876.46x = 62,826.06 × 12,294.06
  4. Step 4: Simplify right side
    41,876.46x = 772,387,351.20
  5. Step 5: Solve for x
    x = 772,387,351.20/41,876.46
  6. Step 6: Final answer
    x = 18,444.43

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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.