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Finding the Fourth Proportional to 84,380.76, 116,419.14 and 56,091.24

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Solution

The fourth proportional to 84,380.76, 116,419.14 and 56,091.24 is: 77,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380.76 : 116,419.14 = 56,091.24 : x
  2. Step 2: Convert to fraction form
    84,380.76/116,419.14 = 56,091.24/x
  3. Step 3: Cross multiply
    84,380.76x = 116,419.14 × 56,091.24
  4. Step 4: Simplify right side
    84,380.76x = 6,530,093,922.33
  5. Step 5: Solve for x
    x = 6,530,093,922.33/84,380.76
  6. Step 6: Final answer
    x = 77,388.42

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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.