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Finding the Fourth Proportional to 47,716.44, 71,594.88 and 25,524

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Solution

The fourth proportional to 47,716.44, 71,594.88 and 25,524 is: 38,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716.44 : 71,594.88 = 25,524 : x
  2. Step 2: Convert to fraction form
    47,716.44/71,594.88 = 25,524/x
  3. Step 3: Cross multiply
    47,716.44x = 71,594.88 × 25,524
  4. Step 4: Simplify right side
    47,716.44x = 1,827,387,717.12
  5. Step 5: Solve for x
    x = 1,827,387,717.12/47,716.44
  6. Step 6: Final answer
    x = 38,296.82

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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.