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Finding the Fourth Proportional to 47,523.60, 71,227.80 and 21,200.40

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Solution

The fourth proportional to 47,523.60, 71,227.80 and 21,200.40 is: 31,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,523.60 : 71,227.80 = 21,200.40 : x
  2. Step 2: Convert to fraction form
    47,523.60/71,227.80 = 21,200.40/x
  3. Step 3: Cross multiply
    47,523.60x = 71,227.80 × 21,200.40
  4. Step 4: Simplify right side
    47,523.60x = 1,510,057,851.12
  5. Step 5: Solve for x
    x = 1,510,057,851.12/47,523.60
  6. Step 6: Final answer
    x = 31,774.90

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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.