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Finding the Fourth Proportional to 31,636.56, 47,462.10 and 10,860

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Solution

The fourth proportional to 31,636.56, 47,462.10 and 10,860 is: 16,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636.56 : 47,462.10 = 10,860 : x
  2. Step 2: Convert to fraction form
    31,636.56/47,462.10 = 10,860/x
  3. Step 3: Cross multiply
    31,636.56x = 47,462.10 × 10,860
  4. Step 4: Simplify right side
    31,636.56x = 515,438,406
  5. Step 5: Solve for x
    x = 515,438,406/31,636.56
  6. Step 6: Final answer
    x = 16,292.49

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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.