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Finding the Fourth Proportional to 83,801.72, 125,702.26 and 33,881.22

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Solution

The fourth proportional to 83,801.72, 125,702.26 and 33,881.22 is: 50,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801.72 : 125,702.26 = 33,881.22 : x
  2. Step 2: Convert to fraction form
    83,801.72/125,702.26 = 33,881.22/x
  3. Step 3: Cross multiply
    83,801.72x = 125,702.26 × 33,881.22
  4. Step 4: Simplify right side
    83,801.72x = 4,258,945,840.85
  5. Step 5: Solve for x
    x = 4,258,945,840.85/83,801.72
  6. Step 6: Final answer
    x = 50,821.70

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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.