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Finding the Fourth Proportional to 38,640.16, 53,346.96 and 36,257.44

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Solution

The fourth proportional to 38,640.16, 53,346.96 and 36,257.44 is: 50,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640.16 : 53,346.96 = 36,257.44 : x
  2. Step 2: Convert to fraction form
    38,640.16/53,346.96 = 36,257.44/x
  3. Step 3: Cross multiply
    38,640.16x = 53,346.96 × 36,257.44
  4. Step 4: Simplify right side
    38,640.16x = 1,934,224,201.38
  5. Step 5: Solve for x
    x = 1,934,224,201.38/38,640.16
  6. Step 6: Final answer
    x = 50,057.35

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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.