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Finding the Fourth Proportional to 41,383.52, 62,081.12 and 13,294.16

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Solution

The fourth proportional to 41,383.52, 62,081.12 and 13,294.16 is: 19,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,383.52 : 62,081.12 = 13,294.16 : x
  2. Step 2: Convert to fraction form
    41,383.52/62,081.12 = 13,294.16/x
  3. Step 3: Cross multiply
    41,383.52x = 62,081.12 × 13,294.16
  4. Step 4: Simplify right side
    41,383.52x = 825,315,965.38
  5. Step 5: Solve for x
    x = 825,315,965.38/41,383.52
  6. Step 6: Final answer
    x = 19,943.11

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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.