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Finding the Fourth Proportional to 33,150.36, 49,725.76 and 9,457.85

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Solution

The fourth proportional to 33,150.36, 49,725.76 and 9,457.85 is: 14,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,150.36 : 49,725.76 = 9,457.85 : x
  2. Step 2: Convert to fraction form
    33,150.36/49,725.76 = 9,457.85/x
  3. Step 3: Cross multiply
    33,150.36x = 49,725.76 × 9,457.85
  4. Step 4: Simplify right side
    33,150.36x = 470,298,871.02
  5. Step 5: Solve for x
    x = 470,298,871.02/33,150.36
  6. Step 6: Final answer
    x = 14,186.84

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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.