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Finding the Fourth Proportional to 33,490, 46,216.38 and 20,922.04

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Solution

The fourth proportional to 33,490, 46,216.38 and 20,922.04 is: 28,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490 : 46,216.38 = 20,922.04 : x
  2. Step 2: Convert to fraction form
    33,490/46,216.38 = 20,922.04/x
  3. Step 3: Cross multiply
    33,490x = 46,216.38 × 20,922.04
  4. Step 4: Simplify right side
    33,490x = 966,940,951.02
  5. Step 5: Solve for x
    x = 966,940,951.02/33,490
  6. Step 6: Final answer
    x = 28,872.53

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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.