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Finding the Fourth Proportional to 33,150.65, 49,727.60 and 9,461.68

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Solution

The fourth proportional to 33,150.65, 49,727.60 and 9,461.68 is: 14,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.65 : 49,727.60 = 9,461.68 : x
  2. Step 2: Convert to fraction form
    33,150.65/49,727.60 = 9,461.68/x
  3. Step 3: Cross multiply
    33,150.65x = 49,727.60 × 9,461.68
  4. Step 4: Simplify right side
    33,150.65x = 470,506,537.70
  5. Step 5: Solve for x
    x = 470,506,537.70/33,150.65
  6. Step 6: Final answer
    x = 14,192.98

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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.