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Finding the Fourth Proportional to 35,625.70, 49,163.25 and 19,709.82

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Solution

The fourth proportional to 35,625.70, 49,163.25 and 19,709.82 is: 27,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,625.70 : 49,163.25 = 19,709.82 : x
  2. Step 2: Convert to fraction form
    35,625.70/49,163.25 = 19,709.82/x
  3. Step 3: Cross multiply
    35,625.70x = 49,163.25 × 19,709.82
  4. Step 4: Simplify right side
    35,625.70x = 968,998,808.12
  5. Step 5: Solve for x
    x = 968,998,808.12/35,625.70
  6. Step 6: Final answer
    x = 27,199.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.