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Finding the Fourth Proportional to 31,910.25, 44,036.15 and 17,764.01

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Solution

The fourth proportional to 31,910.25, 44,036.15 and 17,764.01 is: 24,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.25 : 44,036.15 = 17,764.01 : x
  2. Step 2: Convert to fraction form
    31,910.25/44,036.15 = 17,764.01/x
  3. Step 3: Cross multiply
    31,910.25x = 44,036.15 × 17,764.01
  4. Step 4: Simplify right side
    31,910.25x = 782,258,299.96
  5. Step 5: Solve for x
    x = 782,258,299.96/31,910.25
  6. Step 6: Final answer
    x = 24,514.33

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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.