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Finding the Fourth Proportional to 47,393.20, 71,091.24 and 16,228

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Solution

The fourth proportional to 47,393.20, 71,091.24 and 16,228 is: 24,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393.20 : 71,091.24 = 16,228 : x
  2. Step 2: Convert to fraction form
    47,393.20/71,091.24 = 16,228/x
  3. Step 3: Cross multiply
    47,393.20x = 71,091.24 × 16,228
  4. Step 4: Simplify right side
    47,393.20x = 1,153,668,642.72
  5. Step 5: Solve for x
    x = 1,153,668,642.72/47,393.20
  6. Step 6: Final answer
    x = 24,342.49

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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.