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Finding the Fourth Proportional to 73,092.76, 109,652.96 and 23,185.42

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Solution

The fourth proportional to 73,092.76, 109,652.96 and 23,185.42 is: 34,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,092.76 : 109,652.96 = 23,185.42 : x
  2. Step 2: Convert to fraction form
    73,092.76/109,652.96 = 23,185.42/x
  3. Step 3: Cross multiply
    73,092.76x = 109,652.96 × 23,185.42
  4. Step 4: Simplify right side
    73,092.76x = 2,542,349,267.65
  5. Step 5: Solve for x
    x = 2,542,349,267.65/73,092.76
  6. Step 6: Final answer
    x = 34,782.51

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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.