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Finding the Fourth Proportional to 33,709.62, 50,570.94 and 12,931.50

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Solution

The fourth proportional to 33,709.62, 50,570.94 and 12,931.50 is: 19,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.62 : 50,570.94 = 12,931.50 : x
  2. Step 2: Convert to fraction form
    33,709.62/50,570.94 = 12,931.50/x
  3. Step 3: Cross multiply
    33,709.62x = 50,570.94 × 12,931.50
  4. Step 4: Simplify right side
    33,709.62x = 653,958,110.61
  5. Step 5: Solve for x
    x = 653,958,110.61/33,709.62
  6. Step 6: Final answer
    x = 19,399.75

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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.