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Finding the Fourth Proportional to 73,653.22, 101,642.14 and 41,822.79

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Solution

The fourth proportional to 73,653.22, 101,642.14 and 41,822.79 is: 57,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,653.22 : 101,642.14 = 41,822.79 : x
  2. Step 2: Convert to fraction form
    73,653.22/101,642.14 = 41,822.79/x
  3. Step 3: Cross multiply
    73,653.22x = 101,642.14 × 41,822.79
  4. Step 4: Simplify right side
    73,653.22x = 4,250,957,876.37
  5. Step 5: Solve for x
    x = 4,250,957,876.37/73,653.22
  6. Step 6: Final answer
    x = 57,715.85

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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.