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Finding the Fourth Proportional to 73,174.68, 100,983.04 and 41,342.90

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Solution

The fourth proportional to 73,174.68, 100,983.04 and 41,342.90 is: 57,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,174.68 : 100,983.04 = 41,342.90 : x
  2. Step 2: Convert to fraction form
    73,174.68/100,983.04 = 41,342.90/x
  3. Step 3: Cross multiply
    73,174.68x = 100,983.04 × 41,342.90
  4. Step 4: Simplify right side
    73,174.68x = 4,174,931,724.42
  5. Step 5: Solve for x
    x = 4,174,931,724.42/73,174.68
  6. Step 6: Final answer
    x = 57,054.32

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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.