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Finding the Fourth Proportional to 85,201.84, 117,587.29 and 51,221.33

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Solution

The fourth proportional to 85,201.84, 117,587.29 and 51,221.33 is: 70,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201.84 : 117,587.29 = 51,221.33 : x
  2. Step 2: Convert to fraction form
    85,201.84/117,587.29 = 51,221.33/x
  3. Step 3: Cross multiply
    85,201.84x = 117,587.29 × 51,221.33
  4. Step 4: Simplify right side
    85,201.84x = 6,022,976,540.85
  5. Step 5: Solve for x
    x = 6,022,976,540.85/85,201.84
  6. Step 6: Final answer
    x = 70,690.69

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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.