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Finding the Fourth Proportional to 31,422.84, 43,362.38 and 17,275.56

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Solution

The fourth proportional to 31,422.84, 43,362.38 and 17,275.56 is: 23,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.84 : 43,362.38 = 17,275.56 : x
  2. Step 2: Convert to fraction form
    31,422.84/43,362.38 = 17,275.56/x
  3. Step 3: Cross multiply
    31,422.84x = 43,362.38 × 17,275.56
  4. Step 4: Simplify right side
    31,422.84x = 749,109,397.43
  5. Step 5: Solve for x
    x = 749,109,397.43/31,422.84
  6. Step 6: Final answer
    x = 23,839.65

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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.