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Finding the Fourth Proportional to 75,216.50, 112,832.24 and 27,844.26

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Solution

The fourth proportional to 75,216.50, 112,832.24 and 27,844.26 is: 41,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.50 : 112,832.24 = 27,844.26 : x
  2. Step 2: Convert to fraction form
    75,216.50/112,832.24 = 27,844.26/x
  3. Step 3: Cross multiply
    75,216.50x = 112,832.24 × 27,844.26
  4. Step 4: Simplify right side
    75,216.50x = 3,141,730,087.72
  5. Step 5: Solve for x
    x = 3,141,730,087.72/75,216.50
  6. Step 6: Final answer
    x = 41,769.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.