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Finding the Fourth Proportional to 41,892.98, 62,826.15 and 13,807.80

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Solution

The fourth proportional to 41,892.98, 62,826.15 and 13,807.80 is: 20,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892.98 : 62,826.15 = 13,807.80 : x
  2. Step 2: Convert to fraction form
    41,892.98/62,826.15 = 13,807.80/x
  3. Step 3: Cross multiply
    41,892.98x = 62,826.15 × 13,807.80
  4. Step 4: Simplify right side
    41,892.98x = 867,490,913.97
  5. Step 5: Solve for x
    x = 867,490,913.97/41,892.98
  6. Step 6: Final answer
    x = 20,707.31

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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.