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Finding the Fourth Proportional to 73,732.06, 101,751.69 and 40,198.06

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Solution

The fourth proportional to 73,732.06, 101,751.69 and 40,198.06 is: 55,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,732.06 : 101,751.69 = 40,198.06 : x
  2. Step 2: Convert to fraction form
    73,732.06/101,751.69 = 40,198.06/x
  3. Step 3: Cross multiply
    73,732.06x = 101,751.69 × 40,198.06
  4. Step 4: Simplify right side
    73,732.06x = 4,090,220,539.72
  5. Step 5: Solve for x
    x = 4,090,220,539.72/73,732.06
  6. Step 6: Final answer
    x = 55,474.11

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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.