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Finding the Fourth Proportional to 31,471.88, 43,430.86 and 17,324.44

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Solution

The fourth proportional to 31,471.88, 43,430.86 and 17,324.44 is: 23,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.88 : 43,430.86 = 17,324.44 : x
  2. Step 2: Convert to fraction form
    31,471.88/43,430.86 = 17,324.44/x
  3. Step 3: Cross multiply
    31,471.88x = 43,430.86 × 17,324.44
  4. Step 4: Simplify right side
    31,471.88x = 752,415,328.22
  5. Step 5: Solve for x
    x = 752,415,328.22/31,471.88
  6. Step 6: Final answer
    x = 23,907.54

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1.5x scale

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.