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Finding the Fourth Proportional to 33,400.32, 50,103.76 and 9,708.07

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Solution

The fourth proportional to 33,400.32, 50,103.76 and 9,708.07 is: 14,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400.32 : 50,103.76 = 9,708.07 : x
  2. Step 2: Convert to fraction form
    33,400.32/50,103.76 = 9,708.07/x
  3. Step 3: Cross multiply
    33,400.32x = 50,103.76 × 9,708.07
  4. Step 4: Simplify right side
    33,400.32x = 486,410,809.34
  5. Step 5: Solve for x
    x = 486,410,809.34/33,400.32
  6. Step 6: Final answer
    x = 14,563.06

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