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Finding the Fourth Proportional to 33,684, 50,533.28 and 12,907.52

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Solution

The fourth proportional to 33,684, 50,533.28 and 12,907.52 is: 19,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684 : 50,533.28 = 12,907.52 : x
  2. Step 2: Convert to fraction form
    33,684/50,533.28 = 12,907.52/x
  3. Step 3: Cross multiply
    33,684x = 50,533.28 × 12,907.52
  4. Step 4: Simplify right side
    33,684x = 652,259,322.27
  5. Step 5: Solve for x
    x = 652,259,322.27/33,684
  6. Step 6: Final answer
    x = 19,364.07

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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.