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Finding the Fourth Proportional to 31,358.88, 47,049.12 and 15,763.68

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Solution

The fourth proportional to 31,358.88, 47,049.12 and 15,763.68 is: 23,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,358.88 : 47,049.12 = 15,763.68 : x
  2. Step 2: Convert to fraction form
    31,358.88/47,049.12 = 15,763.68/x
  3. Step 3: Cross multiply
    31,358.88x = 47,049.12 × 15,763.68
  4. Step 4: Simplify right side
    31,358.88x = 741,667,271.96
  5. Step 5: Solve for x
    x = 741,667,271.96/31,358.88
  6. Step 6: Final answer
    x = 23,650.95

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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.