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Finding the Fourth Proportional to 33,149.58, 49,727.60 and 9,782.70

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Solution

The fourth proportional to 33,149.58, 49,727.60 and 9,782.70 is: 14,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.58 : 49,727.60 = 9,782.70 : x
  2. Step 2: Convert to fraction form
    33,149.58/49,727.60 = 9,782.70/x
  3. Step 3: Cross multiply
    33,149.58x = 49,727.60 × 9,782.70
  4. Step 4: Simplify right side
    33,149.58x = 486,470,192.52
  5. Step 5: Solve for x
    x = 486,470,192.52/33,149.58
  6. Step 6: Final answer
    x = 14,675.00

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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.