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Finding the Fourth Proportional to 73,832.83, 101,853.86 and 48,327.96

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Solution

The fourth proportional to 73,832.83, 101,853.86 and 48,327.96 is: 66,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,832.83 : 101,853.86 = 48,327.96 : x
  2. Step 2: Convert to fraction form
    73,832.83/101,853.86 = 48,327.96/x
  3. Step 3: Cross multiply
    73,832.83x = 101,853.86 × 48,327.96
  4. Step 4: Simplify right side
    73,832.83x = 4,922,388,839.31
  5. Step 5: Solve for x
    x = 4,922,388,839.31/73,832.83
  6. Step 6: Final answer
    x = 66,669.38

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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.