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Finding the Fourth Proportional to 31,684.48, 43,726.80 and 17,537.92

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Solution

The fourth proportional to 31,684.48, 43,726.80 and 17,537.92 is: 24,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.48 : 43,726.80 = 17,537.92 : x
  2. Step 2: Convert to fraction form
    31,684.48/43,726.80 = 17,537.92/x
  3. Step 3: Cross multiply
    31,684.48x = 43,726.80 × 17,537.92
  4. Step 4: Simplify right side
    31,684.48x = 766,877,120.26
  5. Step 5: Solve for x
    x = 766,877,120.26/31,684.48
  6. Step 6: Final answer
    x = 24,203.56

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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.