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Finding the Fourth Proportional to 47,251.20, 65,194.88 and 30,464

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Solution

The fourth proportional to 47,251.20, 65,194.88 and 30,464 is: 42,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251.20 : 65,194.88 = 30,464 : x
  2. Step 2: Convert to fraction form
    47,251.20/65,194.88 = 30,464/x
  3. Step 3: Cross multiply
    47,251.20x = 65,194.88 × 30,464
  4. Step 4: Simplify right side
    47,251.20x = 1,986,096,824.32
  5. Step 5: Solve for x
    x = 1,986,096,824.32/47,251.20
  6. Step 6: Final answer
    x = 42,032.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.