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Finding the Fourth Proportional to 83,462.88, 125,198.88 and 21,133.92

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Solution

The fourth proportional to 83,462.88, 125,198.88 and 21,133.92 is: 31,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.88 : 125,198.88 = 21,133.92 : x
  2. Step 2: Convert to fraction form
    83,462.88/125,198.88 = 21,133.92/x
  3. Step 3: Cross multiply
    83,462.88x = 125,198.88 × 21,133.92
  4. Step 4: Simplify right side
    83,462.88x = 2,645,943,114.01
  5. Step 5: Solve for x
    x = 2,645,943,114.01/83,462.88
  6. Step 6: Final answer
    x = 31,702.03

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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.