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Finding the Fourth Proportional to 75,956.72, 104,822.54 and 42,422

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Solution

The fourth proportional to 75,956.72, 104,822.54 and 42,422 is: 58,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,956.72 : 104,822.54 = 42,422 : x
  2. Step 2: Convert to fraction form
    75,956.72/104,822.54 = 42,422/x
  3. Step 3: Cross multiply
    75,956.72x = 104,822.54 × 42,422
  4. Step 4: Simplify right side
    75,956.72x = 4,446,781,791.88
  5. Step 5: Solve for x
    x = 4,446,781,791.88/75,956.72
  6. Step 6: Final answer
    x = 58,543.63

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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.