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Finding the Fourth Proportional to 71,902.83, 107,854.50 and 21,982.74

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Solution

The fourth proportional to 71,902.83, 107,854.50 and 21,982.74 is: 32,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.83 : 107,854.50 = 21,982.74 : x
  2. Step 2: Convert to fraction form
    71,902.83/107,854.50 = 21,982.74/x
  3. Step 3: Cross multiply
    71,902.83x = 107,854.50 × 21,982.74
  4. Step 4: Simplify right side
    71,902.83x = 2,370,937,431.33
  5. Step 5: Solve for x
    x = 2,370,937,431.33/71,902.83
  6. Step 6: Final answer
    x = 32,974.19

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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.