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Finding the Fourth Proportional to 73,176, 100,997.52 and 41,345.28

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Solution

The fourth proportional to 73,176, 100,997.52 and 41,345.28 is: 57,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176 : 100,997.52 = 41,345.28 : x
  2. Step 2: Convert to fraction form
    73,176/100,997.52 = 41,345.28/x
  3. Step 3: Cross multiply
    73,176x = 100,997.52 × 41,345.28
  4. Step 4: Simplify right side
    73,176x = 4,175,770,743.71
  5. Step 5: Solve for x
    x = 4,175,770,743.71/73,176
  6. Step 6: Final answer
    x = 57,064.76

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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.