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Finding the Fourth Proportional to 83,039.90, 114,594.54 and 47,229.80

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Solution

The fourth proportional to 83,039.90, 114,594.54 and 47,229.80 is: 65,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.90 : 114,594.54 = 47,229.80 : x
  2. Step 2: Convert to fraction form
    83,039.90/114,594.54 = 47,229.80/x
  3. Step 3: Cross multiply
    83,039.90x = 114,594.54 × 47,229.80
  4. Step 4: Simplify right side
    83,039.90x = 5,412,277,205.29
  5. Step 5: Solve for x
    x = 5,412,277,205.29/83,039.90
  6. Step 6: Final answer
    x = 65,176.83

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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.