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Finding the Fourth Proportional to 32,447.42, 44,778.10 and 18,297.50

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Solution

The fourth proportional to 32,447.42, 44,778.10 and 18,297.50 is: 25,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.42 : 44,778.10 = 18,297.50 : x
  2. Step 2: Convert to fraction form
    32,447.42/44,778.10 = 18,297.50/x
  3. Step 3: Cross multiply
    32,447.42x = 44,778.10 × 18,297.50
  4. Step 4: Simplify right side
    32,447.42x = 819,327,284.75
  5. Step 5: Solve for x
    x = 819,327,284.75/32,447.42
  6. Step 6: Final answer
    x = 25,250.92

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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.