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Finding the Fourth Proportional to 27,382.98, 37,754.28 and 22,852.16

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Solution

The fourth proportional to 27,382.98, 37,754.28 and 22,852.16 is: 31,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.98 : 37,754.28 = 22,852.16 : x
  2. Step 2: Convert to fraction form
    27,382.98/37,754.28 = 22,852.16/x
  3. Step 3: Cross multiply
    27,382.98x = 37,754.28 × 22,852.16
  4. Step 4: Simplify right side
    27,382.98x = 862,766,847.24
  5. Step 5: Solve for x
    x = 862,766,847.24/27,382.98
  6. Step 6: Final answer
    x = 31,507.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.