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Finding the Fourth Proportional to 75,238.96, 103,824.04 and 41,242

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Solution

The fourth proportional to 75,238.96, 103,824.04 and 41,242 is: 56,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238.96 : 103,824.04 = 41,242 : x
  2. Step 2: Convert to fraction form
    75,238.96/103,824.04 = 41,242/x
  3. Step 3: Cross multiply
    75,238.96x = 103,824.04 × 41,242
  4. Step 4: Simplify right side
    75,238.96x = 4,281,911,057.68
  5. Step 5: Solve for x
    x = 4,281,911,057.68/75,238.96
  6. Step 6: Final answer
    x = 56,910.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.