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Finding the Fourth Proportional to 35,902.50, 49,546.59 and 22,469.46

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Solution

The fourth proportional to 35,902.50, 49,546.59 and 22,469.46 is: 31,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.50 : 49,546.59 = 22,469.46 : x
  2. Step 2: Convert to fraction form
    35,902.50/49,546.59 = 22,469.46/x
  3. Step 3: Cross multiply
    35,902.50x = 49,546.59 × 22,469.46
  4. Step 4: Simplify right side
    35,902.50x = 1,113,285,122.14
  5. Step 5: Solve for x
    x = 1,113,285,122.14/35,902.50
  6. Step 6: Final answer
    x = 31,008.57

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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.