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Finding the Fourth Proportional to 33,781.25, 50,671.47 and 31,726.09

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Solution

The fourth proportional to 33,781.25, 50,671.47 and 31,726.09 is: 47,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.25 : 50,671.47 = 31,726.09 : x
  2. Step 2: Convert to fraction form
    33,781.25/50,671.47 = 31,726.09/x
  3. Step 3: Cross multiply
    33,781.25x = 50,671.47 × 31,726.09
  4. Step 4: Simplify right side
    33,781.25x = 1,607,607,617.65
  5. Step 5: Solve for x
    x = 1,607,607,617.65/33,781.25
  6. Step 6: Final answer
    x = 47,588.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.