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Finding the Fourth Proportional to 31,425.84, 43,365.56 and 17,278

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Solution

The fourth proportional to 31,425.84, 43,365.56 and 17,278 is: 23,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.84 : 43,365.56 = 17,278 : x
  2. Step 2: Convert to fraction form
    31,425.84/43,365.56 = 17,278/x
  3. Step 3: Cross multiply
    31,425.84x = 43,365.56 × 17,278
  4. Step 4: Simplify right side
    31,425.84x = 749,270,145.68
  5. Step 5: Solve for x
    x = 749,270,145.68/31,425.84
  6. Step 6: Final answer
    x = 23,842.49

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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.