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Finding the Fourth Proportional to 35,540.57, 49,061.70 and 21,205.40

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Solution

The fourth proportional to 35,540.57, 49,061.70 and 21,205.40 is: 29,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,540.57 : 49,061.70 = 21,205.40 : x
  2. Step 2: Convert to fraction form
    35,540.57/49,061.70 = 21,205.40/x
  3. Step 3: Cross multiply
    35,540.57x = 49,061.70 × 21,205.40
  4. Step 4: Simplify right side
    35,540.57x = 1,040,372,727.87
  5. Step 5: Solve for x
    x = 1,040,372,727.87/35,540.57
  6. Step 6: Final answer
    x = 29,272.82

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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.