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Finding the Fourth Proportional to 35,783.31, 49,382.49 and 19,867.75

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Solution

The fourth proportional to 35,783.31, 49,382.49 and 19,867.75 is: 27,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.31 : 49,382.49 = 19,867.75 : x
  2. Step 2: Convert to fraction form
    35,783.31/49,382.49 = 19,867.75/x
  3. Step 3: Cross multiply
    35,783.31x = 49,382.49 × 19,867.75
  4. Step 4: Simplify right side
    35,783.31x = 981,118,965.70
  5. Step 5: Solve for x
    x = 981,118,965.70/35,783.31
  6. Step 6: Final answer
    x = 27,418.34

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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.