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Finding the Fourth Proportional to 33,206.40, 49,809.60 and 24,458.40

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Solution

The fourth proportional to 33,206.40, 49,809.60 and 24,458.40 is: 36,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.40 : 49,809.60 = 24,458.40 : x
  2. Step 2: Convert to fraction form
    33,206.40/49,809.60 = 24,458.40/x
  3. Step 3: Cross multiply
    33,206.40x = 49,809.60 × 24,458.40
  4. Step 4: Simplify right side
    33,206.40x = 1,218,263,120.64
  5. Step 5: Solve for x
    x = 1,218,263,120.64/33,206.40
  6. Step 6: Final answer
    x = 36,687.60

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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.