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Finding the Fourth Proportional to 86,249.64, 119,023.56 and 48,009

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Solution

The fourth proportional to 86,249.64, 119,023.56 and 48,009 is: 66,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,249.64 : 119,023.56 = 48,009 : x
  2. Step 2: Convert to fraction form
    86,249.64/119,023.56 = 48,009/x
  3. Step 3: Cross multiply
    86,249.64x = 119,023.56 × 48,009
  4. Step 4: Simplify right side
    86,249.64x = 5,714,202,092.04
  5. Step 5: Solve for x
    x = 5,714,202,092.04/86,249.64
  6. Step 6: Final answer
    x = 66,251.89

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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.