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Finding the Fourth Proportional to 73,761.81, 101,790.84 and 41,930.71

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Solution

The fourth proportional to 73,761.81, 101,790.84 and 41,930.71 is: 57,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,761.81 : 101,790.84 = 41,930.71 : x
  2. Step 2: Convert to fraction form
    73,761.81/101,790.84 = 41,930.71/x
  3. Step 3: Cross multiply
    73,761.81x = 101,790.84 × 41,930.71
  4. Step 4: Simplify right side
    73,761.81x = 4,268,162,491.14
  5. Step 5: Solve for x
    x = 4,268,162,491.14/73,761.81
  6. Step 6: Final answer
    x = 57,864.12

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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.