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Finding the Fourth Proportional to 35,561.74, 49,076.61 and 20,454.38

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Solution

The fourth proportional to 35,561.74, 49,076.61 and 20,454.38 is: 28,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,561.74 : 49,076.61 = 20,454.38 : x
  2. Step 2: Convert to fraction form
    35,561.74/49,076.61 = 20,454.38/x
  3. Step 3: Cross multiply
    35,561.74x = 49,076.61 × 20,454.38
  4. Step 4: Simplify right side
    35,561.74x = 1,003,831,630.05
  5. Step 5: Solve for x
    x = 1,003,831,630.05/35,561.74
  6. Step 6: Final answer
    x = 28,227.85

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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.