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Finding the Fourth Proportional to 31,708.99, 43,759.79 and 17,561.82

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Solution

The fourth proportional to 31,708.99, 43,759.79 and 17,561.82 is: 24,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.99 : 43,759.79 = 17,561.82 : x
  2. Step 2: Convert to fraction form
    31,708.99/43,759.79 = 17,561.82/x
  3. Step 3: Cross multiply
    31,708.99x = 43,759.79 × 17,561.82
  4. Step 4: Simplify right side
    31,708.99x = 768,501,555.22
  5. Step 5: Solve for x
    x = 768,501,555.22/31,708.99
  6. Step 6: Final answer
    x = 24,236.08

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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.