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Finding the Fourth Proportional to 33,588.68, 50,368.43 and 10,209.65

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Solution

The fourth proportional to 33,588.68, 50,368.43 and 10,209.65 is: 15,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588.68 : 50,368.43 = 10,209.65 : x
  2. Step 2: Convert to fraction form
    33,588.68/50,368.43 = 10,209.65/x
  3. Step 3: Cross multiply
    33,588.68x = 50,368.43 × 10,209.65
  4. Step 4: Simplify right side
    33,588.68x = 514,243,815.03
  5. Step 5: Solve for x
    x = 514,243,815.03/33,588.68
  6. Step 6: Final answer
    x = 15,310.04

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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.