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Finding the Fourth Proportional to 83,782.43, 125,763.17 and 33,895.14

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Solution

The fourth proportional to 83,782.43, 125,763.17 and 33,895.14 is: 50,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.43 : 125,763.17 = 33,895.14 : x
  2. Step 2: Convert to fraction form
    83,782.43/125,763.17 = 33,895.14/x
  3. Step 3: Cross multiply
    83,782.43x = 125,763.17 × 33,895.14
  4. Step 4: Simplify right side
    83,782.43x = 4,262,760,253.99
  5. Step 5: Solve for x
    x = 4,262,760,253.99/83,782.43
  6. Step 6: Final answer
    x = 50,878.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.