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Finding the Fourth Proportional to 33,229.60, 49,844.40 and 31,917.40

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Solution

The fourth proportional to 33,229.60, 49,844.40 and 31,917.40 is: 47,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,229.60 : 49,844.40 = 31,917.40 : x
  2. Step 2: Convert to fraction form
    33,229.60/49,844.40 = 31,917.40/x
  3. Step 3: Cross multiply
    33,229.60x = 49,844.40 × 31,917.40
  4. Step 4: Simplify right side
    33,229.60x = 1,590,903,652.56
  5. Step 5: Solve for x
    x = 1,590,903,652.56/33,229.60
  6. Step 6: Final answer
    x = 47,876.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.