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Finding the Fourth Proportional to 83,063.68, 124,524.64 and 38,069.80

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Solution

The fourth proportional to 83,063.68, 124,524.64 and 38,069.80 is: 57,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,063.68 : 124,524.64 = 38,069.80 : x
  2. Step 2: Convert to fraction form
    83,063.68/124,524.64 = 38,069.80/x
  3. Step 3: Cross multiply
    83,063.68x = 124,524.64 × 38,069.80
  4. Step 4: Simplify right side
    83,063.68x = 4,740,627,876.15
  5. Step 5: Solve for x
    x = 4,740,627,876.15/83,063.68
  6. Step 6: Final answer
    x = 57,072.21

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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.