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Finding the Fourth Proportional to 33,661.92, 46,446 and 22,476

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Solution

The fourth proportional to 33,661.92, 46,446 and 22,476 is: 31,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.92 : 46,446 = 22,476 : x
  2. Step 2: Convert to fraction form
    33,661.92/46,446 = 22,476/x
  3. Step 3: Cross multiply
    33,661.92x = 46,446 × 22,476
  4. Step 4: Simplify right side
    33,661.92x = 1,043,920,296
  5. Step 5: Solve for x
    x = 1,043,920,296/33,661.92
  6. Step 6: Final answer
    x = 31,011.91

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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.