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Finding the Fourth Proportional to 84,091, 116,046.49 and 45,850.24

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Solution

The fourth proportional to 84,091, 116,046.49 and 45,850.24 is: 63,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,091 : 116,046.49 = 45,850.24 : x
  2. Step 2: Convert to fraction form
    84,091/116,046.49 = 45,850.24/x
  3. Step 3: Cross multiply
    84,091x = 116,046.49 × 45,850.24
  4. Step 4: Simplify right side
    84,091x = 5,320,759,417.66
  5. Step 5: Solve for x
    x = 5,320,759,417.66/84,091
  6. Step 6: Final answer
    x = 63,273.83

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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.