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Finding the Fourth Proportional to 35,850.38, 49,474.78 and 19,718.92

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Solution

The fourth proportional to 35,850.38, 49,474.78 and 19,718.92 is: 27,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,850.38 : 49,474.78 = 19,718.92 : x
  2. Step 2: Convert to fraction form
    35,850.38/49,474.78 = 19,718.92/x
  3. Step 3: Cross multiply
    35,850.38x = 49,474.78 × 19,718.92
  4. Step 4: Simplify right side
    35,850.38x = 975,589,228.84
  5. Step 5: Solve for x
    x = 975,589,228.84/35,850.38
  6. Step 6: Final answer
    x = 27,212.80

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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.