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Finding the Fourth Proportional to 38,917.54, 53,710.25 and 23,820.26

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Solution

The fourth proportional to 38,917.54, 53,710.25 and 23,820.26 is: 32,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,917.54 : 53,710.25 = 23,820.26 : x
  2. Step 2: Convert to fraction form
    38,917.54/53,710.25 = 23,820.26/x
  3. Step 3: Cross multiply
    38,917.54x = 53,710.25 × 23,820.26
  4. Step 4: Simplify right side
    38,917.54x = 1,279,392,000.56
  5. Step 5: Solve for x
    x = 1,279,392,000.56/38,917.54
  6. Step 6: Final answer
    x = 32,874.44

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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.