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Finding the Fourth Proportional to 35,833.41, 49,451.78 and 19,918.13

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Solution

The fourth proportional to 35,833.41, 49,451.78 and 19,918.13 is: 27,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833.41 : 49,451.78 = 19,918.13 : x
  2. Step 2: Convert to fraction form
    35,833.41/49,451.78 = 19,918.13/x
  3. Step 3: Cross multiply
    35,833.41x = 49,451.78 × 19,918.13
  4. Step 4: Simplify right side
    35,833.41x = 984,986,785.31
  5. Step 5: Solve for x
    x = 984,986,785.31/35,833.41
  6. Step 6: Final answer
    x = 27,487.94

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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.