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Finding the Fourth Proportional to 32,044.25, 44,223.65 and 17,705.33

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Solution

The fourth proportional to 32,044.25, 44,223.65 and 17,705.33 is: 24,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,044.25 : 44,223.65 = 17,705.33 : x
  2. Step 2: Convert to fraction form
    32,044.25/44,223.65 = 17,705.33/x
  3. Step 3: Cross multiply
    32,044.25x = 44,223.65 × 17,705.33
  4. Step 4: Simplify right side
    32,044.25x = 782,994,339.09
  5. Step 5: Solve for x
    x = 782,994,339.09/32,044.25
  6. Step 6: Final answer
    x = 24,434.78

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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.