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Finding the Fourth Proportional to 82,809.44, 123,577.96 and 73,951.84

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Solution

The fourth proportional to 82,809.44, 123,577.96 and 73,951.84 is: 110,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.44 : 123,577.96 = 73,951.84 : x
  2. Step 2: Convert to fraction form
    82,809.44/123,577.96 = 73,951.84/x
  3. Step 3: Cross multiply
    82,809.44x = 123,577.96 × 73,951.84
  4. Step 4: Simplify right side
    82,809.44x = 9,138,817,525.45
  5. Step 5: Solve for x
    x = 9,138,817,525.45/82,809.44
  6. Step 6: Final answer
    x = 110,359.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.