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Finding the Fourth Proportional to 83,992.40, 125,891.40 and 34,047.80

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Solution

The fourth proportional to 83,992.40, 125,891.40 and 34,047.80 is: 51,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992.40 : 125,891.40 = 34,047.80 : x
  2. Step 2: Convert to fraction form
    83,992.40/125,891.40 = 34,047.80/x
  3. Step 3: Cross multiply
    83,992.40x = 125,891.40 × 34,047.80
  4. Step 4: Simplify right side
    83,992.40x = 4,286,325,208.92
  5. Step 5: Solve for x
    x = 4,286,325,208.92/83,992.40
  6. Step 6: Final answer
    x = 51,032.30

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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.