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Finding the Fourth Proportional to 35,728.80, 49,306.08 and 19,814.56

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Solution

The fourth proportional to 35,728.80, 49,306.08 and 19,814.56 is: 27,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.80 : 49,306.08 = 19,814.56 : x
  2. Step 2: Convert to fraction form
    35,728.80/49,306.08 = 19,814.56/x
  3. Step 3: Cross multiply
    35,728.80x = 49,306.08 × 19,814.56
  4. Step 4: Simplify right side
    35,728.80x = 976,978,280.52
  5. Step 5: Solve for x
    x = 976,978,280.52/35,728.80
  6. Step 6: Final answer
    x = 27,344.28

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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.