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Finding the Fourth Proportional to 33,354.04, 50,027.40 and 9,975

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Solution

The fourth proportional to 33,354.04, 50,027.40 and 9,975 is: 14,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,354.04 : 50,027.40 = 9,975 : x
  2. Step 2: Convert to fraction form
    33,354.04/50,027.40 = 9,975/x
  3. Step 3: Cross multiply
    33,354.04x = 50,027.40 × 9,975
  4. Step 4: Simplify right side
    33,354.04x = 499,023,315
  5. Step 5: Solve for x
    x = 499,023,315/33,354.04
  6. Step 6: Final answer
    x = 14,961.41

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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.