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Finding the Fourth Proportional to 33,419.56, 46,121.74 and 19,083.78

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Solution

The fourth proportional to 33,419.56, 46,121.74 and 19,083.78 is: 26,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.56 : 46,121.74 = 19,083.78 : x
  2. Step 2: Convert to fraction form
    33,419.56/46,121.74 = 19,083.78/x
  3. Step 3: Cross multiply
    33,419.56x = 46,121.74 × 19,083.78
  4. Step 4: Simplify right side
    33,419.56x = 880,177,139.38
  5. Step 5: Solve for x
    x = 880,177,139.38/33,419.56
  6. Step 6: Final answer
    x = 26,337.19

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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.