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Finding the Fourth Proportional to 33,828.30, 50,745.65 and 9,204.30

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Solution

The fourth proportional to 33,828.30, 50,745.65 and 9,204.30 is: 13,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.30 : 50,745.65 = 9,204.30 : x
  2. Step 2: Convert to fraction form
    33,828.30/50,745.65 = 9,204.30/x
  3. Step 3: Cross multiply
    33,828.30x = 50,745.65 × 9,204.30
  4. Step 4: Simplify right side
    33,828.30x = 467,078,186.30
  5. Step 5: Solve for x
    x = 467,078,186.30/33,828.30
  6. Step 6: Final answer
    x = 13,807.32

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1.5x scale

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.