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Finding the Fourth Proportional to 35,727.96, 49,304.50 and 19,812

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Solution

The fourth proportional to 35,727.96, 49,304.50 and 19,812 is: 27,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.96 : 49,304.50 = 19,812 : x
  2. Step 2: Convert to fraction form
    35,727.96/49,304.50 = 19,812/x
  3. Step 3: Cross multiply
    35,727.96x = 49,304.50 × 19,812
  4. Step 4: Simplify right side
    35,727.96x = 976,820,754
  5. Step 5: Solve for x
    x = 976,820,754/35,727.96
  6. Step 6: Final answer
    x = 27,340.51

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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.