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Finding the Fourth Proportional to 98,015.24, 147,025.02 and 27,896.78

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Solution

The fourth proportional to 98,015.24, 147,025.02 and 27,896.78 is: 41,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015.24 : 147,025.02 = 27,896.78 : x
  2. Step 2: Convert to fraction form
    98,015.24/147,025.02 = 27,896.78/x
  3. Step 3: Cross multiply
    98,015.24x = 147,025.02 × 27,896.78
  4. Step 4: Simplify right side
    98,015.24x = 4,101,524,637.44
  5. Step 5: Solve for x
    x = 4,101,524,637.44/98,015.24
  6. Step 6: Final answer
    x = 41,845.78

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Why These Related Problems?

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