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Finding the Fourth Proportional to 75,181.77, 103,749.26 and 41,188.60

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Solution

The fourth proportional to 75,181.77, 103,749.26 and 41,188.60 is: 56,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,181.77 : 103,749.26 = 41,188.60 : x
  2. Step 2: Convert to fraction form
    75,181.77/103,749.26 = 41,188.60/x
  3. Step 3: Cross multiply
    75,181.77x = 103,749.26 × 41,188.60
  4. Step 4: Simplify right side
    75,181.77x = 4,273,286,694.18
  5. Step 5: Solve for x
    x = 4,273,286,694.18/75,181.77
  6. Step 6: Final answer
    x = 56,839.40

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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.