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Finding the Fourth Proportional to 31,641.14, 47,464.14 and 8,267.24

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Solution

The fourth proportional to 31,641.14, 47,464.14 and 8,267.24 is: 12,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.14 : 47,464.14 = 8,267.24 : x
  2. Step 2: Convert to fraction form
    31,641.14/47,464.14 = 8,267.24/x
  3. Step 3: Cross multiply
    31,641.14x = 47,464.14 × 8,267.24
  4. Step 4: Simplify right side
    31,641.14x = 392,397,436.77
  5. Step 5: Solve for x
    x = 392,397,436.77/31,641.14
  6. Step 6: Final answer
    x = 12,401.49

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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.