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Finding the Fourth Proportional to 83,057.40, 114,630.17 and 47,240.49

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Solution

The fourth proportional to 83,057.40, 114,630.17 and 47,240.49 is: 65,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.40 : 114,630.17 = 47,240.49 : x
  2. Step 2: Convert to fraction form
    83,057.40/114,630.17 = 47,240.49/x
  3. Step 3: Cross multiply
    83,057.40x = 114,630.17 × 47,240.49
  4. Step 4: Simplify right side
    83,057.40x = 5,415,185,593.24
  5. Step 5: Solve for x
    x = 5,415,185,593.24/83,057.40
  6. Step 6: Final answer
    x = 65,198.11

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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.