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Finding the Fourth Proportional to 73,619, 101,594.22 and 40,085

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Solution

The fourth proportional to 73,619, 101,594.22 and 40,085 is: 55,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,619 : 101,594.22 = 40,085 : x
  2. Step 2: Convert to fraction form
    73,619/101,594.22 = 40,085/x
  3. Step 3: Cross multiply
    73,619x = 101,594.22 × 40,085
  4. Step 4: Simplify right side
    73,619x = 4,072,404,308.70
  5. Step 5: Solve for x
    x = 4,072,404,308.70/73,619
  6. Step 6: Final answer
    x = 55,317.30

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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.