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Finding the Fourth Proportional to 73,077.78, 100,847.28 and 39,543.78

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Solution

The fourth proportional to 73,077.78, 100,847.28 and 39,543.78 is: 54,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,077.78 : 100,847.28 = 39,543.78 : x
  2. Step 2: Convert to fraction form
    73,077.78/100,847.28 = 39,543.78/x
  3. Step 3: Cross multiply
    73,077.78x = 100,847.28 × 39,543.78
  4. Step 4: Simplify right side
    73,077.78x = 3,987,882,653.92
  5. Step 5: Solve for x
    x = 3,987,882,653.92/73,077.78
  6. Step 6: Final answer
    x = 54,570.39

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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.