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Finding the Fourth Proportional to 33,340.82, 46,025.42 and 22,599

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Solution

The fourth proportional to 33,340.82, 46,025.42 and 22,599 is: 31,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,340.82 : 46,025.42 = 22,599 : x
  2. Step 2: Convert to fraction form
    33,340.82/46,025.42 = 22,599/x
  3. Step 3: Cross multiply
    33,340.82x = 46,025.42 × 22,599
  4. Step 4: Simplify right side
    33,340.82x = 1,040,128,353.59
  5. Step 5: Solve for x
    x = 1,040,128,353.59/33,340.82
  6. Step 6: Final answer
    x = 31,196.85

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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.