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Finding the Fourth Proportional to 41,949.49, 57,891.51 and 22,830.50

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Solution

The fourth proportional to 41,949.49, 57,891.51 and 22,830.50 is: 31,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,949.49 : 57,891.51 = 22,830.50 : x
  2. Step 2: Convert to fraction form
    41,949.49/57,891.51 = 22,830.50/x
  3. Step 3: Cross multiply
    41,949.49x = 57,891.51 × 22,830.50
  4. Step 4: Simplify right side
    41,949.49x = 1,321,692,119.06
  5. Step 5: Solve for x
    x = 1,321,692,119.06/41,949.49
  6. Step 6: Final answer
    x = 31,506.75

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