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Finding the Fourth Proportional to 47,182.74, 70,778.56 and 15,593

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Solution

The fourth proportional to 47,182.74, 70,778.56 and 15,593 is: 23,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182.74 : 70,778.56 = 15,593 : x
  2. Step 2: Convert to fraction form
    47,182.74/70,778.56 = 15,593/x
  3. Step 3: Cross multiply
    47,182.74x = 70,778.56 × 15,593
  4. Step 4: Simplify right side
    47,182.74x = 1,103,650,086.08
  5. Step 5: Solve for x
    x = 1,103,650,086.08/47,182.74
  6. Step 6: Final answer
    x = 23,390.97

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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.