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Finding the Fourth Proportional to 73,467.74, 101,408.56 and 41,657.83

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Solution

The fourth proportional to 73,467.74, 101,408.56 and 41,657.83 is: 57,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,467.74 : 101,408.56 = 41,657.83 : x
  2. Step 2: Convert to fraction form
    73,467.74/101,408.56 = 41,657.83/x
  3. Step 3: Cross multiply
    73,467.74x = 101,408.56 × 41,657.83
  4. Step 4: Simplify right side
    73,467.74x = 4,224,460,195.36
  5. Step 5: Solve for x
    x = 4,224,460,195.36/73,467.74
  6. Step 6: Final answer
    x = 57,500.88

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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.