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Finding the Fourth Proportional to 35,863.38, 49,490.76 and 19,947.49

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Solution

The fourth proportional to 35,863.38, 49,490.76 and 19,947.49 is: 27,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,863.38 : 49,490.76 = 19,947.49 : x
  2. Step 2: Convert to fraction form
    35,863.38/49,490.76 = 19,947.49/x
  3. Step 3: Cross multiply
    35,863.38x = 49,490.76 × 19,947.49
  4. Step 4: Simplify right side
    35,863.38x = 987,216,440.19
  5. Step 5: Solve for x
    x = 987,216,440.19/35,863.38
  6. Step 6: Final answer
    x = 27,527.14

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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.