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Finding the Fourth Proportional to 21,081.22, 31,626.38 and 7,042.50

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Solution

The fourth proportional to 21,081.22, 31,626.38 and 7,042.50 is: 10,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,081.22 : 31,626.38 = 7,042.50 : x
  2. Step 2: Convert to fraction form
    21,081.22/31,626.38 = 7,042.50/x
  3. Step 3: Cross multiply
    21,081.22x = 31,626.38 × 7,042.50
  4. Step 4: Simplify right side
    21,081.22x = 222,728,781.15
  5. Step 5: Solve for x
    x = 222,728,781.15/21,081.22
  6. Step 6: Final answer
    x = 10,565.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.