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Finding the Fourth Proportional to 75,027.84, 103,538.04 and 41,493.84

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Solution

The fourth proportional to 75,027.84, 103,538.04 and 41,493.84 is: 57,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,027.84 : 103,538.04 = 41,493.84 : x
  2. Step 2: Convert to fraction form
    75,027.84/103,538.04 = 41,493.84/x
  3. Step 3: Cross multiply
    75,027.84x = 103,538.04 × 41,493.84
  4. Step 4: Simplify right side
    75,027.84x = 4,296,190,865.67
  5. Step 5: Solve for x
    x = 4,296,190,865.67/75,027.84
  6. Step 6: Final answer
    x = 57,261.29

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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.