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Finding the Fourth Proportional to 33,197.30, 49,814.17 and 15,666.67

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Solution

The fourth proportional to 33,197.30, 49,814.17 and 15,666.67 is: 23,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.30 : 49,814.17 = 15,666.67 : x
  2. Step 2: Convert to fraction form
    33,197.30/49,814.17 = 15,666.67/x
  3. Step 3: Cross multiply
    33,197.30x = 49,814.17 × 15,666.67
  4. Step 4: Simplify right side
    33,197.30x = 780,422,162.71
  5. Step 5: Solve for x
    x = 780,422,162.71/33,197.30
  6. Step 6: Final answer
    x = 23,508.60

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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.