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Finding the Fourth Proportional to 32,085.71, 44,279.22 and 17,745.97

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Solution

The fourth proportional to 32,085.71, 44,279.22 and 17,745.97 is: 24,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.71 : 44,279.22 = 17,745.97 : x
  2. Step 2: Convert to fraction form
    32,085.71/44,279.22 = 17,745.97/x
  3. Step 3: Cross multiply
    32,085.71x = 44,279.22 × 17,745.97
  4. Step 4: Simplify right side
    32,085.71x = 785,777,709.74
  5. Step 5: Solve for x
    x = 785,777,709.74/32,085.71
  6. Step 6: Final answer
    x = 24,489.96

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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.