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Finding the Fourth Proportional to 33,050.35, 49,583.22 and 9,678.61

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Solution

The fourth proportional to 33,050.35, 49,583.22 and 9,678.61 is: 14,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,050.35 : 49,583.22 = 9,678.61 : x
  2. Step 2: Convert to fraction form
    33,050.35/49,583.22 = 9,678.61/x
  3. Step 3: Cross multiply
    33,050.35x = 49,583.22 × 9,678.61
  4. Step 4: Simplify right side
    33,050.35x = 479,896,648.92
  5. Step 5: Solve for x
    x = 479,896,648.92/33,050.35
  6. Step 6: Final answer
    x = 14,520.17

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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.