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Finding the Fourth Proportional to 31,880.86, 43,994.41 and 17,733.40

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Solution

The fourth proportional to 31,880.86, 43,994.41 and 17,733.40 is: 24,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.86 : 43,994.41 = 17,733.40 : x
  2. Step 2: Convert to fraction form
    31,880.86/43,994.41 = 17,733.40/x
  3. Step 3: Cross multiply
    31,880.86x = 43,994.41 × 17,733.40
  4. Step 4: Simplify right side
    31,880.86x = 780,170,315.97
  5. Step 5: Solve for x
    x = 780,170,315.97/31,880.86
  6. Step 6: Final answer
    x = 24,471.43

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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.