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Finding the Fourth Proportional to 57,510.50, 86,141.00 and 27,866.17

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Solution

The fourth proportional to 57,510.50, 86,141.00 and 27,866.17 is: 41,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510.50 : 86,141.00 = 27,866.17 : x
  2. Step 2: Convert to fraction form
    57,510.50/86,141.00 = 27,866.17/x
  3. Step 3: Cross multiply
    57,510.50x = 86,141.00 × 27,866.17
  4. Step 4: Simplify right side
    57,510.50x = 2,400,419,604.28
  5. Step 5: Solve for x
    x = 2,400,419,604.28/57,510.50
  6. Step 6: Final answer
    x = 41,738.80

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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.