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Finding the Fourth Proportional to 33,533.32, 50,307.42 and 12,757

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Solution

The fourth proportional to 33,533.32, 50,307.42 and 12,757 is: 19,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533.32 : 50,307.42 = 12,757 : x
  2. Step 2: Convert to fraction form
    33,533.32/50,307.42 = 12,757/x
  3. Step 3: Cross multiply
    33,533.32x = 50,307.42 × 12,757
  4. Step 4: Simplify right side
    33,533.32x = 641,771,756.94
  5. Step 5: Solve for x
    x = 641,771,756.94/33,533.32
  6. Step 6: Final answer
    x = 19,138.33

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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.