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Finding the Fourth Proportional to 60,414.16, 83,369.82 and 33,556

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Solution

The fourth proportional to 60,414.16, 83,369.82 and 33,556 is: 46,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414.16 : 83,369.82 = 33,556 : x
  2. Step 2: Convert to fraction form
    60,414.16/83,369.82 = 33,556/x
  3. Step 3: Cross multiply
    60,414.16x = 83,369.82 × 33,556
  4. Step 4: Simplify right side
    60,414.16x = 2,797,557,679.92
  5. Step 5: Solve for x
    x = 2,797,557,679.92/60,414.16
  6. Step 6: Final answer
    x = 46,306.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.