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Finding the Fourth Proportional to 31,059.27, 42,862.49 and 17,629.26

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Solution

The fourth proportional to 31,059.27, 42,862.49 and 17,629.26 is: 24,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.27 : 42,862.49 = 17,629.26 : x
  2. Step 2: Convert to fraction form
    31,059.27/42,862.49 = 17,629.26/x
  3. Step 3: Cross multiply
    31,059.27x = 42,862.49 × 17,629.26
  4. Step 4: Simplify right side
    31,059.27x = 755,634,043.54
  5. Step 5: Solve for x
    x = 755,634,043.54/31,059.27
  6. Step 6: Final answer
    x = 24,328.78

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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.