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Finding the Fourth Proportional to 33,006.60, 49,509.90 and 8,046.45

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Solution

The fourth proportional to 33,006.60, 49,509.90 and 8,046.45 is: 12,069.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.60 : 49,509.90 = 8,046.45 : x
  2. Step 2: Convert to fraction form
    33,006.60/49,509.90 = 8,046.45/x
  3. Step 3: Cross multiply
    33,006.60x = 49,509.90 × 8,046.45
  4. Step 4: Simplify right side
    33,006.60x = 398,378,934.86
  5. Step 5: Solve for x
    x = 398,378,934.86/33,006.60
  6. Step 6: Final answer
    x = 12,069.68

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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.