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Finding the Fourth Proportional to 38,575.96, 53,238.78 and 23,469.70

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Solution

The fourth proportional to 38,575.96, 53,238.78 and 23,469.70 is: 32,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,575.96 : 53,238.78 = 23,469.70 : x
  2. Step 2: Convert to fraction form
    38,575.96/53,238.78 = 23,469.70/x
  3. Step 3: Cross multiply
    38,575.96x = 53,238.78 × 23,469.70
  4. Step 4: Simplify right side
    38,575.96x = 1,249,498,194.97
  5. Step 5: Solve for x
    x = 1,249,498,194.97/38,575.96
  6. Step 6: Final answer
    x = 32,390.59

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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.