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Finding the Fourth Proportional to 73,838.39, 101,906.37 and 41,574.74

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Solution

The fourth proportional to 73,838.39, 101,906.37 and 41,574.74 is: 57,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,838.39 : 101,906.37 = 41,574.74 : x
  2. Step 2: Convert to fraction form
    73,838.39/101,906.37 = 41,574.74/x
  3. Step 3: Cross multiply
    73,838.39x = 101,906.37 × 41,574.74
  4. Step 4: Simplify right side
    73,838.39x = 4,236,730,327.56
  5. Step 5: Solve for x
    x = 4,236,730,327.56/73,838.39
  6. Step 6: Final answer
    x = 57,378.43

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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.