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Finding the Fourth Proportional to 31,697.92, 43,744.62 and 17,551

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Solution

The fourth proportional to 31,697.92, 43,744.62 and 17,551 is: 24,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.92 : 43,744.62 = 17,551 : x
  2. Step 2: Convert to fraction form
    31,697.92/43,744.62 = 17,551/x
  3. Step 3: Cross multiply
    31,697.92x = 43,744.62 × 17,551
  4. Step 4: Simplify right side
    31,697.92x = 767,761,825.62
  5. Step 5: Solve for x
    x = 767,761,825.62/31,697.92
  6. Step 6: Final answer
    x = 24,221.21

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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.