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Finding the Fourth Proportional to 83,373.58, 125,063.83 and 24,209.25

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Solution

The fourth proportional to 83,373.58, 125,063.83 and 24,209.25 is: 36,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,373.58 : 125,063.83 = 24,209.25 : x
  2. Step 2: Convert to fraction form
    83,373.58/125,063.83 = 24,209.25/x
  3. Step 3: Cross multiply
    83,373.58x = 125,063.83 × 24,209.25
  4. Step 4: Simplify right side
    83,373.58x = 3,027,701,654.67
  5. Step 5: Solve for x
    x = 3,027,701,654.67/83,373.58
  6. Step 6: Final answer
    x = 36,314.88

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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.