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Finding the Fourth Proportional to 31,467.97, 47,174.01 and 11,733.13

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Solution

The fourth proportional to 31,467.97, 47,174.01 and 11,733.13 is: 17,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467.97 : 47,174.01 = 11,733.13 : x
  2. Step 2: Convert to fraction form
    31,467.97/47,174.01 = 11,733.13/x
  3. Step 3: Cross multiply
    31,467.97x = 47,174.01 × 11,733.13
  4. Step 4: Simplify right side
    31,467.97x = 553,498,791.95
  5. Step 5: Solve for x
    x = 553,498,791.95/31,467.97
  6. Step 6: Final answer
    x = 17,589.28

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1.5x scale

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.