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Finding the Fourth Proportional to 62,766, 86,616.24 and 34,471.20

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Solution

The fourth proportional to 62,766, 86,616.24 and 34,471.20 is: 47,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,766 : 86,616.24 = 34,471.20 : x
  2. Step 2: Convert to fraction form
    62,766/86,616.24 = 34,471.20/x
  3. Step 3: Cross multiply
    62,766x = 86,616.24 × 34,471.20
  4. Step 4: Simplify right side
    62,766x = 2,985,765,732.29
  5. Step 5: Solve for x
    x = 2,985,765,732.29/62,766
  6. Step 6: Final answer
    x = 47,569.79

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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.