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Finding the Fourth Proportional to 75,902.80, 113,854.20 and 23,314.90

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Solution

The fourth proportional to 75,902.80, 113,854.20 and 23,314.90 is: 34,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902.80 : 113,854.20 = 23,314.90 : x
  2. Step 2: Convert to fraction form
    75,902.80/113,854.20 = 23,314.90/x
  3. Step 3: Cross multiply
    75,902.80x = 113,854.20 × 23,314.90
  4. Step 4: Simplify right side
    75,902.80x = 2,654,499,287.58
  5. Step 5: Solve for x
    x = 2,654,499,287.58/75,902.80
  6. Step 6: Final answer
    x = 34,972.35

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Similar ratio
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1.5x scale

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.