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Finding the Fourth Proportional to 35,732.43, 49,313.78 and 19,822

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Solution

The fourth proportional to 35,732.43, 49,313.78 and 19,822 is: 27,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732.43 : 49,313.78 = 19,822 : x
  2. Step 2: Convert to fraction form
    35,732.43/49,313.78 = 19,822/x
  3. Step 3: Cross multiply
    35,732.43x = 49,313.78 × 19,822
  4. Step 4: Simplify right side
    35,732.43x = 977,497,648.05
  5. Step 5: Solve for x
    x = 977,497,648.05/35,732.43
  6. Step 6: Final answer
    x = 27,356.04

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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.