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Finding the Fourth Proportional to 33,291.63, 49,931.28 and 13,299.42

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Solution

The fourth proportional to 33,291.63, 49,931.28 and 13,299.42 is: 19,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291.63 : 49,931.28 = 13,299.42 : x
  2. Step 2: Convert to fraction form
    33,291.63/49,931.28 = 13,299.42/x
  3. Step 3: Cross multiply
    33,291.63x = 49,931.28 × 13,299.42
  4. Step 4: Simplify right side
    33,291.63x = 664,057,063.86
  5. Step 5: Solve for x
    x = 664,057,063.86/33,291.63
  6. Step 6: Final answer
    x = 19,946.67

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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.