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Finding the Fourth Proportional to 30,761.36, 42,452.67 and 17,150.93

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Solution

The fourth proportional to 30,761.36, 42,452.67 and 17,150.93 is: 23,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.36 : 42,452.67 = 17,150.93 : x
  2. Step 2: Convert to fraction form
    30,761.36/42,452.67 = 17,150.93/x
  3. Step 3: Cross multiply
    30,761.36x = 42,452.67 × 17,150.93
  4. Step 4: Simplify right side
    30,761.36x = 728,102,771.48
  5. Step 5: Solve for x
    x = 728,102,771.48/30,761.36
  6. Step 6: Final answer
    x = 23,669.39

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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.