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Finding the Fourth Proportional to 73,305.97, 109,991.75 and 42,141.22

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Solution

The fourth proportional to 73,305.97, 109,991.75 and 42,141.22 is: 63,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,305.97 : 109,991.75 = 42,141.22 : x
  2. Step 2: Convert to fraction form
    73,305.97/109,991.75 = 42,141.22/x
  3. Step 3: Cross multiply
    73,305.97x = 109,991.75 × 42,141.22
  4. Step 4: Simplify right side
    73,305.97x = 4,635,186,534.94
  5. Step 5: Solve for x
    x = 4,635,186,534.94/73,305.97
  6. Step 6: Final answer
    x = 63,230.68

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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.