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Finding the Fourth Proportional to 73,792.86, 101,867.13 and 49,991.82

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Solution

The fourth proportional to 73,792.86, 101,867.13 and 49,991.82 is: 69,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792.86 : 101,867.13 = 49,991.82 : x
  2. Step 2: Convert to fraction form
    73,792.86/101,867.13 = 49,991.82/x
  3. Step 3: Cross multiply
    73,792.86x = 101,867.13 × 49,991.82
  4. Step 4: Simplify right side
    73,792.86x = 5,092,523,226.88
  5. Step 5: Solve for x
    x = 5,092,523,226.88/73,792.86
  6. Step 6: Final answer
    x = 69,011.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.