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Finding the Fourth Proportional to 31,453.68, 43,405.12 and 17,306.52

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Solution

The fourth proportional to 31,453.68, 43,405.12 and 17,306.52 is: 23,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,453.68 : 43,405.12 = 17,306.52 : x
  2. Step 2: Convert to fraction form
    31,453.68/43,405.12 = 17,306.52/x
  3. Step 3: Cross multiply
    31,453.68x = 43,405.12 × 17,306.52
  4. Step 4: Simplify right side
    31,453.68x = 751,191,577.38
  5. Step 5: Solve for x
    x = 751,191,577.38/31,453.68
  6. Step 6: Final answer
    x = 23,882.47

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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.