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Finding the Fourth Proportional to 38,451.77, 57,677.32 and 12,156.53

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Solution

The fourth proportional to 38,451.77, 57,677.32 and 12,156.53 is: 18,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451.77 : 57,677.32 = 12,156.53 : x
  2. Step 2: Convert to fraction form
    38,451.77/57,677.32 = 12,156.53/x
  3. Step 3: Cross multiply
    38,451.77x = 57,677.32 × 12,156.53
  4. Step 4: Simplify right side
    38,451.77x = 701,155,729.33
  5. Step 5: Solve for x
    x = 701,155,729.33/38,451.77
  6. Step 6: Final answer
    x = 18,234.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.