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Finding the Fourth Proportional to 31,473.97, 47,218.95 and 11,752.70

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Solution

The fourth proportional to 31,473.97, 47,218.95 and 11,752.70 is: 17,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473.97 : 47,218.95 = 11,752.70 : x
  2. Step 2: Convert to fraction form
    31,473.97/47,218.95 = 11,752.70/x
  3. Step 3: Cross multiply
    31,473.97x = 47,218.95 × 11,752.70
  4. Step 4: Simplify right side
    31,473.97x = 554,949,917.57
  5. Step 5: Solve for x
    x = 554,949,917.57/31,473.97
  6. Step 6: Final answer
    x = 17,632.03

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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.