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Finding the Fourth Proportional to 33,658.50, 50,487.78 and 9,034.50

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Solution

The fourth proportional to 33,658.50, 50,487.78 and 9,034.50 is: 13,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658.50 : 50,487.78 = 9,034.50 : x
  2. Step 2: Convert to fraction form
    33,658.50/50,487.78 = 9,034.50/x
  3. Step 3: Cross multiply
    33,658.50x = 50,487.78 × 9,034.50
  4. Step 4: Simplify right side
    33,658.50x = 456,131,848.41
  5. Step 5: Solve for x
    x = 456,131,848.41/33,658.50
  6. Step 6: Final answer
    x = 13,551.76

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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.