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Finding the Fourth Proportional to 47,797.60, 71,654.64 and 22,825.12

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Solution

The fourth proportional to 47,797.60, 71,654.64 and 22,825.12 is: 34,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,797.60 : 71,654.64 = 22,825.12 : x
  2. Step 2: Convert to fraction form
    47,797.60/71,654.64 = 22,825.12/x
  3. Step 3: Cross multiply
    47,797.60x = 71,654.64 × 22,825.12
  4. Step 4: Simplify right side
    47,797.60x = 1,635,525,756.56
  5. Step 5: Solve for x
    x = 1,635,525,756.56/47,797.60
  6. Step 6: Final answer
    x = 34,217.74

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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.