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Finding the Fourth Proportional to 30,331.86, 41,858.38 and 17,585.97

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Solution

The fourth proportional to 30,331.86, 41,858.38 and 17,585.97 is: 24,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,331.86 : 41,858.38 = 17,585.97 : x
  2. Step 2: Convert to fraction form
    30,331.86/41,858.38 = 17,585.97/x
  3. Step 3: Cross multiply
    30,331.86x = 41,858.38 × 17,585.97
  4. Step 4: Simplify right side
    30,331.86x = 736,120,214.93
  5. Step 5: Solve for x
    x = 736,120,214.93/30,331.86
  6. Step 6: Final answer
    x = 24,268.88

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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.