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Finding the Fourth Proportional to 38,132, 57,201.42 and 10,051.68

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Solution

The fourth proportional to 38,132, 57,201.42 and 10,051.68 is: 15,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,132 : 57,201.42 = 10,051.68 : x
  2. Step 2: Convert to fraction form
    38,132/57,201.42 = 10,051.68/x
  3. Step 3: Cross multiply
    38,132x = 57,201.42 × 10,051.68
  4. Step 4: Simplify right side
    38,132x = 574,970,369.39
  5. Step 5: Solve for x
    x = 574,970,369.39/38,132
  6. Step 6: Final answer
    x = 15,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.