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Finding the Fourth Proportional to 61,414.29, 84,750.73 and 34,556.78

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Solution

The fourth proportional to 61,414.29, 84,750.73 and 34,556.78 is: 47,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414.29 : 84,750.73 = 34,556.78 : x
  2. Step 2: Convert to fraction form
    61,414.29/84,750.73 = 34,556.78/x
  3. Step 3: Cross multiply
    61,414.29x = 84,750.73 × 34,556.78
  4. Step 4: Simplify right side
    61,414.29x = 2,928,712,456.93
  5. Step 5: Solve for x
    x = 2,928,712,456.93/61,414.29
  6. Step 6: Final answer
    x = 47,687.80

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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.