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Finding the Fourth Proportional to 38,080.78, 57,141.84 and 15,896.10

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Solution

The fourth proportional to 38,080.78, 57,141.84 and 15,896.10 is: 23,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080.78 : 57,141.84 = 15,896.10 : x
  2. Step 2: Convert to fraction form
    38,080.78/57,141.84 = 15,896.10/x
  3. Step 3: Cross multiply
    38,080.78x = 57,141.84 × 15,896.10
  4. Step 4: Simplify right side
    38,080.78x = 908,332,402.82
  5. Step 5: Solve for x
    x = 908,332,402.82/38,080.78
  6. Step 6: Final answer
    x = 23,852.78

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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.