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Finding the Fourth Proportional to 54,699.30, 81,991.44 and 23,102.82

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Solution

The fourth proportional to 54,699.30, 81,991.44 and 23,102.82 is: 34,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.30 : 81,991.44 = 23,102.82 : x
  2. Step 2: Convert to fraction form
    54,699.30/81,991.44 = 23,102.82/x
  3. Step 3: Cross multiply
    54,699.30x = 81,991.44 × 23,102.82
  4. Step 4: Simplify right side
    54,699.30x = 1,894,233,479.86
  5. Step 5: Solve for x
    x = 1,894,233,479.86/54,699.30
  6. Step 6: Final answer
    x = 34,629.94

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Why These Related Problems?

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