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Finding the Fourth Proportional to 32,682.75, 45,102.21 and 17,778.75

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Solution

The fourth proportional to 32,682.75, 45,102.21 and 17,778.75 is: 24,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.75 : 45,102.21 = 17,778.75 : x
  2. Step 2: Convert to fraction form
    32,682.75/45,102.21 = 17,778.75/x
  3. Step 3: Cross multiply
    32,682.75x = 45,102.21 × 17,778.75
  4. Step 4: Simplify right side
    32,682.75x = 801,860,916.04
  5. Step 5: Solve for x
    x = 801,860,916.04/32,682.75
  6. Step 6: Final answer
    x = 24,534.68

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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.