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Finding the Fourth Proportional to 33,282.54, 49,909.10 and 12,491.46

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Solution

The fourth proportional to 33,282.54, 49,909.10 and 12,491.46 is: 18,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282.54 : 49,909.10 = 12,491.46 : x
  2. Step 2: Convert to fraction form
    33,282.54/49,909.10 = 12,491.46/x
  3. Step 3: Cross multiply
    33,282.54x = 49,909.10 × 12,491.46
  4. Step 4: Simplify right side
    33,282.54x = 623,437,463.83
  5. Step 5: Solve for x
    x = 623,437,463.83/33,282.54
  6. Step 6: Final answer
    x = 18,731.67

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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.