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Finding the Fourth Proportional to 32,441.46, 44,766.48 and 18,297.78

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Solution

The fourth proportional to 32,441.46, 44,766.48 and 18,297.78 is: 25,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.46 : 44,766.48 = 18,297.78 : x
  2. Step 2: Convert to fraction form
    32,441.46/44,766.48 = 18,297.78/x
  3. Step 3: Cross multiply
    32,441.46x = 44,766.48 × 18,297.78
  4. Step 4: Simplify right side
    32,441.46x = 819,127,202.41
  5. Step 5: Solve for x
    x = 819,127,202.41/32,441.46
  6. Step 6: Final answer
    x = 25,249.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.