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Finding the Fourth Proportional to 31,894.97, 43,969.43 and 22,434.17

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Solution

The fourth proportional to 31,894.97, 43,969.43 and 22,434.17 is: 30,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.97 : 43,969.43 = 22,434.17 : x
  2. Step 2: Convert to fraction form
    31,894.97/43,969.43 = 22,434.17/x
  3. Step 3: Cross multiply
    31,894.97x = 43,969.43 × 22,434.17
  4. Step 4: Simplify right side
    31,894.97x = 986,417,503.66
  5. Step 5: Solve for x
    x = 986,417,503.66/31,894.97
  6. Step 6: Final answer
    x = 30,927.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.