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Finding the Fourth Proportional to 83,839.70, 115,715.23 and 48,053.70

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Solution

The fourth proportional to 83,839.70, 115,715.23 and 48,053.70 is: 66,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,839.70 : 115,715.23 = 48,053.70 : x
  2. Step 2: Convert to fraction form
    83,839.70/115,715.23 = 48,053.70/x
  3. Step 3: Cross multiply
    83,839.70x = 115,715.23 × 48,053.70
  4. Step 4: Simplify right side
    83,839.70x = 5,560,544,827.72
  5. Step 5: Solve for x
    x = 5,560,544,827.72/83,839.70
  6. Step 6: Final answer
    x = 66,323.53

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Why These Related Problems?

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