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Finding the Fourth Proportional to 87,568, 120,843.84 and 47,824

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Solution

The fourth proportional to 87,568, 120,843.84 and 47,824 is: 65,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,568 : 120,843.84 = 47,824 : x
  2. Step 2: Convert to fraction form
    87,568/120,843.84 = 47,824/x
  3. Step 3: Cross multiply
    87,568x = 120,843.84 × 47,824
  4. Step 4: Simplify right side
    87,568x = 5,779,235,804.16
  5. Step 5: Solve for x
    x = 5,779,235,804.16/87,568
  6. Step 6: Final answer
    x = 65,997.12

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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.