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Finding the Fourth Proportional to 35,658.87, 49,198.14 and 23,724.23

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Solution

The fourth proportional to 35,658.87, 49,198.14 and 23,724.23 is: 32,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.87 : 49,198.14 = 23,724.23 : x
  2. Step 2: Convert to fraction form
    35,658.87/49,198.14 = 23,724.23/x
  3. Step 3: Cross multiply
    35,658.87x = 49,198.14 × 23,724.23
  4. Step 4: Simplify right side
    35,658.87x = 1,167,187,988.93
  5. Step 5: Solve for x
    x = 1,167,187,988.93/35,658.87
  6. Step 6: Final answer
    x = 32,732.05

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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.