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Finding the Fourth Proportional to 41,690.28, 57,533.22 and 22,829.16

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Solution

The fourth proportional to 41,690.28, 57,533.22 and 22,829.16 is: 31,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,690.28 : 57,533.22 = 22,829.16 : x
  2. Step 2: Convert to fraction form
    41,690.28/57,533.22 = 22,829.16/x
  3. Step 3: Cross multiply
    41,690.28x = 57,533.22 × 22,829.16
  4. Step 4: Simplify right side
    41,690.28x = 1,313,435,084.70
  5. Step 5: Solve for x
    x = 1,313,435,084.70/41,690.28
  6. Step 6: Final answer
    x = 31,504.59

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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.