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Finding the Fourth Proportional to 73,741.26, 101,762.55 and 41,908.26

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Solution

The fourth proportional to 73,741.26, 101,762.55 and 41,908.26 is: 57,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,741.26 : 101,762.55 = 41,908.26 : x
  2. Step 2: Convert to fraction form
    73,741.26/101,762.55 = 41,908.26/x
  3. Step 3: Cross multiply
    73,741.26x = 101,762.55 × 41,908.26
  4. Step 4: Simplify right side
    73,741.26x = 4,264,691,403.66
  5. Step 5: Solve for x
    x = 4,264,691,403.66/73,741.26
  6. Step 6: Final answer
    x = 57,833.18

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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.