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Finding the Fourth Proportional to 73,287, 109,924.98 and 23,365.08

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Solution

The fourth proportional to 73,287, 109,924.98 and 23,365.08 is: 35,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,287 : 109,924.98 = 23,365.08 : x
  2. Step 2: Convert to fraction form
    73,287/109,924.98 = 23,365.08/x
  3. Step 3: Cross multiply
    73,287x = 109,924.98 × 23,365.08
  4. Step 4: Simplify right side
    73,287x = 2,568,405,951.70
  5. Step 5: Solve for x
    x = 2,568,405,951.70/73,287
  6. Step 6: Final answer
    x = 35,045.86

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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.