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Finding the Fourth Proportional to 31,201.92, 43,058.97 and 17,055

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Solution

The fourth proportional to 31,201.92, 43,058.97 and 17,055 is: 23,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,201.92 : 43,058.97 = 17,055 : x
  2. Step 2: Convert to fraction form
    31,201.92/43,058.97 = 17,055/x
  3. Step 3: Cross multiply
    31,201.92x = 43,058.97 × 17,055
  4. Step 4: Simplify right side
    31,201.92x = 734,370,733.35
  5. Step 5: Solve for x
    x = 734,370,733.35/31,201.92
  6. Step 6: Final answer
    x = 23,536.08

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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.