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Finding the Fourth Proportional to 38,136.43, 57,204.66 and 10,434.43

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Solution

The fourth proportional to 38,136.43, 57,204.66 and 10,434.43 is: 15,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,136.43 : 57,204.66 = 10,434.43 : x
  2. Step 2: Convert to fraction form
    38,136.43/57,204.66 = 10,434.43/x
  3. Step 3: Cross multiply
    38,136.43x = 57,204.66 × 10,434.43
  4. Step 4: Simplify right side
    38,136.43x = 596,898,020.44
  5. Step 5: Solve for x
    x = 596,898,020.44/38,136.43
  6. Step 6: Final answer
    x = 15,651.65

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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.