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Finding the Fourth Proportional to 73,871.06, 101,942.25 and 40,337.06

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Solution

The fourth proportional to 73,871.06, 101,942.25 and 40,337.06 is: 55,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,871.06 : 101,942.25 = 40,337.06 : x
  2. Step 2: Convert to fraction form
    73,871.06/101,942.25 = 40,337.06/x
  3. Step 3: Cross multiply
    73,871.06x = 101,942.25 × 40,337.06
  4. Step 4: Simplify right side
    73,871.06x = 4,112,050,654.79
  5. Step 5: Solve for x
    x = 4,112,050,654.79/73,871.06
  6. Step 6: Final answer
    x = 55,665.25

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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.