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Finding the Fourth Proportional to 31,738.76, 43,797.75 and 17,590.76

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Solution

The fourth proportional to 31,738.76, 43,797.75 and 17,590.76 is: 24,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,738.76 : 43,797.75 = 17,590.76 : x
  2. Step 2: Convert to fraction form
    31,738.76/43,797.75 = 17,590.76/x
  3. Step 3: Cross multiply
    31,738.76x = 43,797.75 × 17,590.76
  4. Step 4: Simplify right side
    31,738.76x = 770,435,708.79
  5. Step 5: Solve for x
    x = 770,435,708.79/31,738.76
  6. Step 6: Final answer
    x = 24,274.29

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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.