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Finding the Fourth Proportional to 38,073.78, 57,116.23 and 11,780.57

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Solution

The fourth proportional to 38,073.78, 57,116.23 and 11,780.57 is: 17,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,073.78 : 57,116.23 = 11,780.57 : x
  2. Step 2: Convert to fraction form
    38,073.78/57,116.23 = 11,780.57/x
  3. Step 3: Cross multiply
    38,073.78x = 57,116.23 × 11,780.57
  4. Step 4: Simplify right side
    38,073.78x = 672,861,858.99
  5. Step 5: Solve for x
    x = 672,861,858.99/38,073.78
  6. Step 6: Final answer
    x = 17,672.58

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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.