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Finding the Fourth Proportional to 33,353.84, 50,023.32 and 9,977.24

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Solution

The fourth proportional to 33,353.84, 50,023.32 and 9,977.24 is: 14,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,353.84 : 50,023.32 = 9,977.24 : x
  2. Step 2: Convert to fraction form
    33,353.84/50,023.32 = 9,977.24/x
  3. Step 3: Cross multiply
    33,353.84x = 50,023.32 × 9,977.24
  4. Step 4: Simplify right side
    33,353.84x = 499,094,669.24
  5. Step 5: Solve for x
    x = 499,094,669.24/33,353.84
  6. Step 6: Final answer
    x = 14,963.63

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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.