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Finding the Fourth Proportional to 35,645.17, 49,190.38 and 22,216.41

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Solution

The fourth proportional to 35,645.17, 49,190.38 and 22,216.41 is: 30,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.17 : 49,190.38 = 22,216.41 : x
  2. Step 2: Convert to fraction form
    35,645.17/49,190.38 = 22,216.41/x
  3. Step 3: Cross multiply
    35,645.17x = 49,190.38 × 22,216.41
  4. Step 4: Simplify right side
    35,645.17x = 1,092,833,713.98
  5. Step 5: Solve for x
    x = 1,092,833,713.98/35,645.17
  6. Step 6: Final answer
    x = 30,658.68

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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.