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Finding the Fourth Proportional to 35,574.89, 49,084.88 and 22,138.95

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Solution

The fourth proportional to 35,574.89, 49,084.88 and 22,138.95 is: 30,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.89 : 49,084.88 = 22,138.95 : x
  2. Step 2: Convert to fraction form
    35,574.89/49,084.88 = 22,138.95/x
  3. Step 3: Cross multiply
    35,574.89x = 49,084.88 × 22,138.95
  4. Step 4: Simplify right side
    35,574.89x = 1,086,687,593.38
  5. Step 5: Solve for x
    x = 1,086,687,593.38/35,574.89
  6. Step 6: Final answer
    x = 30,546.48

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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.