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Finding the Fourth Proportional to 31,742.75, 43,805.04 and 17,597.71

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Solution

The fourth proportional to 31,742.75, 43,805.04 and 17,597.71 is: 24,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742.75 : 43,805.04 = 17,597.71 : x
  2. Step 2: Convert to fraction form
    31,742.75/43,805.04 = 17,597.71/x
  3. Step 3: Cross multiply
    31,742.75x = 43,805.04 × 17,597.71
  4. Step 4: Simplify right side
    31,742.75x = 770,868,302.47
  5. Step 5: Solve for x
    x = 770,868,302.47/31,742.75
  6. Step 6: Final answer
    x = 24,284.86

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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.