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Finding the Fourth Proportional to 73,818, 110,727 and 23,939.82

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Solution

The fourth proportional to 73,818, 110,727 and 23,939.82 is: 35,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,818 : 110,727 = 23,939.82 : x
  2. Step 2: Convert to fraction form
    73,818/110,727 = 23,939.82/x
  3. Step 3: Cross multiply
    73,818x = 110,727 × 23,939.82
  4. Step 4: Simplify right side
    73,818x = 2,650,784,449.14
  5. Step 5: Solve for x
    x = 2,650,784,449.14/73,818
  6. Step 6: Final answer
    x = 35,909.73

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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.