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Finding the Fourth Proportional to 83,955.98, 125,963.14 and 37,241.66

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Solution

The fourth proportional to 83,955.98, 125,963.14 and 37,241.66 is: 55,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,955.98 : 125,963.14 = 37,241.66 : x
  2. Step 2: Convert to fraction form
    83,955.98/125,963.14 = 37,241.66/x
  3. Step 3: Cross multiply
    83,955.98x = 125,963.14 × 37,241.66
  4. Step 4: Simplify right side
    83,955.98x = 4,691,076,432.41
  5. Step 5: Solve for x
    x = 4,691,076,432.41/83,955.98
  6. Step 6: Final answer
    x = 55,875.43

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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.