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Finding the Fourth Proportional to 31,782, 43,867.22 and 21,714.51

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Solution

The fourth proportional to 31,782, 43,867.22 and 21,714.51 is: 29,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782 : 43,867.22 = 21,714.51 : x
  2. Step 2: Convert to fraction form
    31,782/43,867.22 = 21,714.51/x
  3. Step 3: Cross multiply
    31,782x = 43,867.22 × 21,714.51
  4. Step 4: Simplify right side
    31,782x = 952,555,187.36
  5. Step 5: Solve for x
    x = 952,555,187.36/31,782
  6. Step 6: Final answer
    x = 29,971.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.