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Finding the Fourth Proportional to 31,806.84, 43,892.76 and 17,659.44

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Solution

The fourth proportional to 31,806.84, 43,892.76 and 17,659.44 is: 24,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.84 : 43,892.76 = 17,659.44 : x
  2. Step 2: Convert to fraction form
    31,806.84/43,892.76 = 17,659.44/x
  3. Step 3: Cross multiply
    31,806.84x = 43,892.76 × 17,659.44
  4. Step 4: Simplify right side
    31,806.84x = 775,121,561.65
  5. Step 5: Solve for x
    x = 775,121,561.65/31,806.84
  6. Step 6: Final answer
    x = 24,369.65

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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.