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Finding the Fourth Proportional to 33,377.28, 46,034.10 and 21,441.84

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Solution

The fourth proportional to 33,377.28, 46,034.10 and 21,441.84 is: 29,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,377.28 : 46,034.10 = 21,441.84 : x
  2. Step 2: Convert to fraction form
    33,377.28/46,034.10 = 21,441.84/x
  3. Step 3: Cross multiply
    33,377.28x = 46,034.10 × 21,441.84
  4. Step 4: Simplify right side
    33,377.28x = 987,055,806.74
  5. Step 5: Solve for x
    x = 987,055,806.74/33,377.28
  6. Step 6: Final answer
    x = 29,572.69

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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.