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Finding the Fourth Proportional to 73,832.69, 101,853.65 and 48,327.82

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Solution

The fourth proportional to 73,832.69, 101,853.65 and 48,327.82 is: 66,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,832.69 : 101,853.65 = 48,327.82 : x
  2. Step 2: Convert to fraction form
    73,832.69/101,853.65 = 48,327.82/x
  3. Step 3: Cross multiply
    73,832.69x = 101,853.65 × 48,327.82
  4. Step 4: Simplify right side
    73,832.69x = 4,922,364,729.73
  5. Step 5: Solve for x
    x = 4,922,364,729.73/73,832.69
  6. Step 6: Final answer
    x = 66,669.18

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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.