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Finding the Fourth Proportional to 31,743.49, 43,806.51 and 17,404.63

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Solution

The fourth proportional to 31,743.49, 43,806.51 and 17,404.63 is: 24,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,743.49 : 43,806.51 = 17,404.63 : x
  2. Step 2: Convert to fraction form
    31,743.49/43,806.51 = 17,404.63/x
  3. Step 3: Cross multiply
    31,743.49x = 43,806.51 × 17,404.63
  4. Step 4: Simplify right side
    31,743.49x = 762,436,218.17
  5. Step 5: Solve for x
    x = 762,436,218.17/31,743.49
  6. Step 6: Final answer
    x = 24,018.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.