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Finding the Fourth Proportional to 73,176.08, 100,983.32 and 39,642.08

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Solution

The fourth proportional to 73,176.08, 100,983.32 and 39,642.08 is: 54,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.08 : 100,983.32 = 39,642.08 : x
  2. Step 2: Convert to fraction form
    73,176.08/100,983.32 = 39,642.08/x
  3. Step 3: Cross multiply
    73,176.08x = 100,983.32 × 39,642.08
  4. Step 4: Simplify right side
    73,176.08x = 4,003,188,850.11
  5. Step 5: Solve for x
    x = 4,003,188,850.11/73,176.08
  6. Step 6: Final answer
    x = 54,706.25

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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.