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Finding the Fourth Proportional to 38,120.38, 52,606.14 and 23,216.38

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Solution

The fourth proportional to 38,120.38, 52,606.14 and 23,216.38 is: 32,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,120.38 : 52,606.14 = 23,216.38 : x
  2. Step 2: Convert to fraction form
    38,120.38/52,606.14 = 23,216.38/x
  3. Step 3: Cross multiply
    38,120.38x = 52,606.14 × 23,216.38
  4. Step 4: Simplify right side
    38,120.38x = 1,221,324,136.57
  5. Step 5: Solve for x
    x = 1,221,324,136.57/38,120.38
  6. Step 6: Final answer
    x = 32,038.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.