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Finding the Fourth Proportional to 31,781.51, 43,858.71 and 17,634.59

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Solution

The fourth proportional to 31,781.51, 43,858.71 and 17,634.59 is: 24,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.51 : 43,858.71 = 17,634.59 : x
  2. Step 2: Convert to fraction form
    31,781.51/43,858.71 = 17,634.59/x
  3. Step 3: Cross multiply
    31,781.51x = 43,858.71 × 17,634.59
  4. Step 4: Simplify right side
    31,781.51x = 773,430,368.78
  5. Step 5: Solve for x
    x = 773,430,368.78/31,781.51
  6. Step 6: Final answer
    x = 24,335.86

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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.