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Finding the Fourth Proportional to 33,201.60, 49,834.80 and 16,580.40

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Solution

The fourth proportional to 33,201.60, 49,834.80 and 16,580.40 is: 24,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.60 : 49,834.80 = 16,580.40 : x
  2. Step 2: Convert to fraction form
    33,201.60/49,834.80 = 16,580.40/x
  3. Step 3: Cross multiply
    33,201.60x = 49,834.80 × 16,580.40
  4. Step 4: Simplify right side
    33,201.60x = 826,280,917.92
  5. Step 5: Solve for x
    x = 826,280,917.92/33,201.60
  6. Step 6: Final answer
    x = 24,886.78

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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.