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Finding the Fourth Proportional to 73,418.96, 101,314.92 and 41,587.22

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Solution

The fourth proportional to 73,418.96, 101,314.92 and 41,587.22 is: 57,388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,418.96 : 101,314.92 = 41,587.22 : x
  2. Step 2: Convert to fraction form
    73,418.96/101,314.92 = 41,587.22/x
  3. Step 3: Cross multiply
    73,418.96x = 101,314.92 × 41,587.22
  4. Step 4: Simplify right side
    73,418.96x = 4,213,405,867.32
  5. Step 5: Solve for x
    x = 4,213,405,867.32/73,418.96
  6. Step 6: Final answer
    x = 57,388.53

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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.