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Finding the Fourth Proportional to 75,098.64, 103,631.60 and 41,100.36

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Solution

The fourth proportional to 75,098.64, 103,631.60 and 41,100.36 is: 56,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,098.64 : 103,631.60 = 41,100.36 : x
  2. Step 2: Convert to fraction form
    75,098.64/103,631.60 = 41,100.36/x
  3. Step 3: Cross multiply
    75,098.64x = 103,631.60 × 41,100.36
  4. Step 4: Simplify right side
    75,098.64x = 4,259,296,067.38
  5. Step 5: Solve for x
    x = 4,259,296,067.38/75,098.64
  6. Step 6: Final answer
    x = 56,716.02

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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.