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Finding the Fourth Proportional to 73,456.94, 110,120.79 and 29,114.82

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Solution

The fourth proportional to 73,456.94, 110,120.79 and 29,114.82 is: 43,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,456.94 : 110,120.79 = 29,114.82 : x
  2. Step 2: Convert to fraction form
    73,456.94/110,120.79 = 29,114.82/x
  3. Step 3: Cross multiply
    73,456.94x = 110,120.79 × 29,114.82
  4. Step 4: Simplify right side
    73,456.94x = 3,206,146,979.11
  5. Step 5: Solve for x
    x = 3,206,146,979.11/73,456.94
  6. Step 6: Final answer
    x = 43,646.62

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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.