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Finding the Fourth Proportional to 73,709.74, 101,722.26 and 40,175.74

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Solution

The fourth proportional to 73,709.74, 101,722.26 and 40,175.74 is: 55,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,709.74 : 101,722.26 = 40,175.74 : x
  2. Step 2: Convert to fraction form
    73,709.74/101,722.26 = 40,175.74/x
  3. Step 3: Cross multiply
    73,709.74x = 101,722.26 × 40,175.74
  4. Step 4: Simplify right side
    73,709.74x = 4,086,767,069.97
  5. Step 5: Solve for x
    x = 4,086,767,069.97/73,709.74
  6. Step 6: Final answer
    x = 55,444.06

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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.