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Finding the Fourth Proportional to 32,769.25, 49,154.06 and 8,145.25

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Solution

The fourth proportional to 32,769.25, 49,154.06 and 8,145.25 is: 12,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.25 : 49,154.06 = 8,145.25 : x
  2. Step 2: Convert to fraction form
    32,769.25/49,154.06 = 8,145.25/x
  3. Step 3: Cross multiply
    32,769.25x = 49,154.06 × 8,145.25
  4. Step 4: Simplify right side
    32,769.25x = 400,372,066.49
  5. Step 5: Solve for x
    x = 400,372,066.49/32,769.25
  6. Step 6: Final answer
    x = 12,217.92

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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.