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Finding the Fourth Proportional to 32,169.82, 44,393.14 and 17,829.27

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Solution

The fourth proportional to 32,169.82, 44,393.14 and 17,829.27 is: 24,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.82 : 44,393.14 = 17,829.27 : x
  2. Step 2: Convert to fraction form
    32,169.82/44,393.14 = 17,829.27/x
  3. Step 3: Cross multiply
    32,169.82x = 44,393.14 × 17,829.27
  4. Step 4: Simplify right side
    32,169.82x = 791,497,279.21
  5. Step 5: Solve for x
    x = 791,497,279.21/32,169.82
  6. Step 6: Final answer
    x = 24,603.72

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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.