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Finding the Fourth Proportional to 83,288.36, 114,934.98 and 47,489.90

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Solution

The fourth proportional to 83,288.36, 114,934.98 and 47,489.90 is: 65,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288.36 : 114,934.98 = 47,489.90 : x
  2. Step 2: Convert to fraction form
    83,288.36/114,934.98 = 47,489.90/x
  3. Step 3: Cross multiply
    83,288.36x = 114,934.98 × 47,489.90
  4. Step 4: Simplify right side
    83,288.36x = 5,458,250,706.70
  5. Step 5: Solve for x
    x = 5,458,250,706.70/83,288.36
  6. Step 6: Final answer
    x = 65,534.38

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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.