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Finding the Fourth Proportional to 41,454.48, 57,207.84 and 23,550

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Solution

The fourth proportional to 41,454.48, 57,207.84 and 23,550 is: 32,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454.48 : 57,207.84 = 23,550 : x
  2. Step 2: Convert to fraction form
    41,454.48/57,207.84 = 23,550/x
  3. Step 3: Cross multiply
    41,454.48x = 57,207.84 × 23,550
  4. Step 4: Simplify right side
    41,454.48x = 1,347,244,632
  5. Step 5: Solve for x
    x = 1,347,244,632/41,454.48
  6. Step 6: Final answer
    x = 32,499.37

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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.