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Finding the Fourth Proportional to 83,076.75, 114,641.88 and 47,263.41

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Solution

The fourth proportional to 83,076.75, 114,641.88 and 47,263.41 is: 65,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.75 : 114,641.88 = 47,263.41 : x
  2. Step 2: Convert to fraction form
    83,076.75/114,641.88 = 47,263.41/x
  3. Step 3: Cross multiply
    83,076.75x = 114,641.88 × 47,263.41
  4. Step 4: Simplify right side
    83,076.75x = 5,418,366,177.61
  5. Step 5: Solve for x
    x = 5,418,366,177.61/83,076.75
  6. Step 6: Final answer
    x = 65,221.21

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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.