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Finding the Fourth Proportional to 35,644.14, 49,188.30 and 19,728.24

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Solution

The fourth proportional to 35,644.14, 49,188.30 and 19,728.24 is: 27,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.14 : 49,188.30 = 19,728.24 : x
  2. Step 2: Convert to fraction form
    35,644.14/49,188.30 = 19,728.24/x
  3. Step 3: Cross multiply
    35,644.14x = 49,188.30 × 19,728.24
  4. Step 4: Simplify right side
    35,644.14x = 970,398,587.59
  5. Step 5: Solve for x
    x = 970,398,587.59/35,644.14
  6. Step 6: Final answer
    x = 27,224.63

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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.