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Finding the Fourth Proportional to 71,883.25, 107,824.91 and 32,394.20

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Solution

The fourth proportional to 71,883.25, 107,824.91 and 32,394.20 is: 48,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883.25 : 107,824.91 = 32,394.20 : x
  2. Step 2: Convert to fraction form
    71,883.25/107,824.91 = 32,394.20/x
  3. Step 3: Cross multiply
    71,883.25x = 107,824.91 × 32,394.20
  4. Step 4: Simplify right side
    71,883.25x = 3,492,900,998.43
  5. Step 5: Solve for x
    x = 3,492,900,998.43/71,883.25
  6. Step 6: Final answer
    x = 48,591.31

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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.