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Finding the Fourth Proportional to 35,727.54, 49,305.18 and 19,813.50

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Solution

The fourth proportional to 35,727.54, 49,305.18 and 19,813.50 is: 27,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.54 : 49,305.18 = 19,813.50 : x
  2. Step 2: Convert to fraction form
    35,727.54/49,305.18 = 19,813.50/x
  3. Step 3: Cross multiply
    35,727.54x = 49,305.18 × 19,813.50
  4. Step 4: Simplify right side
    35,727.54x = 976,908,183.93
  5. Step 5: Solve for x
    x = 976,908,183.93/35,727.54
  6. Step 6: Final answer
    x = 27,343.28

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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.