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Finding the Fourth Proportional to 33,533.37, 50,307.84 and 9,839.96

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Solution

The fourth proportional to 33,533.37, 50,307.84 and 9,839.96 is: 14,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533.37 : 50,307.84 = 9,839.96 : x
  2. Step 2: Convert to fraction form
    33,533.37/50,307.84 = 9,839.96/x
  3. Step 3: Cross multiply
    33,533.37x = 50,307.84 × 9,839.96
  4. Step 4: Simplify right side
    33,533.37x = 495,027,133.29
  5. Step 5: Solve for x
    x = 495,027,133.29/33,533.37
  6. Step 6: Final answer
    x = 14,762.22

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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.