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Finding the Fourth Proportional to 83,796.90, 125,736.30 and 39,428.04

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Solution

The fourth proportional to 83,796.90, 125,736.30 and 39,428.04 is: 59,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796.90 : 125,736.30 = 39,428.04 : x
  2. Step 2: Convert to fraction form
    83,796.90/125,736.30 = 39,428.04/x
  3. Step 3: Cross multiply
    83,796.90x = 125,736.30 × 39,428.04
  4. Step 4: Simplify right side
    83,796.90x = 4,957,535,865.85
  5. Step 5: Solve for x
    x = 4,957,535,865.85/83,796.90
  6. Step 6: Final answer
    x = 59,161.33

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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.