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Finding the Fourth Proportional to 41,850.84, 57,754.98 and 22,989

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Solution

The fourth proportional to 41,850.84, 57,754.98 and 22,989 is: 31,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850.84 : 57,754.98 = 22,989 : x
  2. Step 2: Convert to fraction form
    41,850.84/57,754.98 = 22,989/x
  3. Step 3: Cross multiply
    41,850.84x = 57,754.98 × 22,989
  4. Step 4: Simplify right side
    41,850.84x = 1,327,729,235.22
  5. Step 5: Solve for x
    x = 1,327,729,235.22/41,850.84
  6. Step 6: Final answer
    x = 31,725.27

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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.