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Finding the Fourth Proportional to 35,823.96, 49,438.74 and 19,908.54

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Solution

The fourth proportional to 35,823.96, 49,438.74 and 19,908.54 is: 27,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,823.96 : 49,438.74 = 19,908.54 : x
  2. Step 2: Convert to fraction form
    35,823.96/49,438.74 = 19,908.54/x
  3. Step 3: Cross multiply
    35,823.96x = 49,438.74 × 19,908.54
  4. Step 4: Simplify right side
    35,823.96x = 984,253,132.84
  5. Step 5: Solve for x
    x = 984,253,132.84/35,823.96
  6. Step 6: Final answer
    x = 27,474.72

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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.