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Finding the Fourth Proportional to 38,102.67, 57,144.83 and 11,443.05

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Solution

The fourth proportional to 38,102.67, 57,144.83 and 11,443.05 is: 17,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.67 : 57,144.83 = 11,443.05 : x
  2. Step 2: Convert to fraction form
    38,102.67/57,144.83 = 11,443.05/x
  3. Step 3: Cross multiply
    38,102.67x = 57,144.83 × 11,443.05
  4. Step 4: Simplify right side
    38,102.67x = 653,911,089.72
  5. Step 5: Solve for x
    x = 653,911,089.72/38,102.67
  6. Step 6: Final answer
    x = 17,161.82

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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.