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Finding the Fourth Proportional to 33,102.60, 49,678.20 and 22,005.60

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Solution

The fourth proportional to 33,102.60, 49,678.20 and 22,005.60 is: 33,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.60 : 49,678.20 = 22,005.60 : x
  2. Step 2: Convert to fraction form
    33,102.60/49,678.20 = 22,005.60/x
  3. Step 3: Cross multiply
    33,102.60x = 49,678.20 × 22,005.60
  4. Step 4: Simplify right side
    33,102.60x = 1,093,198,597.92
  5. Step 5: Solve for x
    x = 1,093,198,597.92/33,102.60
  6. Step 6: Final answer
    x = 33,024.55

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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.