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Finding the Fourth Proportional to 35,753.96, 49,340.04 and 19,838.24

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Solution

The fourth proportional to 35,753.96, 49,340.04 and 19,838.24 is: 27,376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,753.96 : 49,340.04 = 19,838.24 : x
  2. Step 2: Convert to fraction form
    35,753.96/49,340.04 = 19,838.24/x
  3. Step 3: Cross multiply
    35,753.96x = 49,340.04 × 19,838.24
  4. Step 4: Simplify right side
    35,753.96x = 978,819,555.13
  5. Step 5: Solve for x
    x = 978,819,555.13/35,753.96
  6. Step 6: Final answer
    x = 27,376.54

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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.