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Finding the Fourth Proportional to 75,634.29, 104,374.31 and 42,100.29

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Solution

The fourth proportional to 75,634.29, 104,374.31 and 42,100.29 is: 58,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,634.29 : 104,374.31 = 42,100.29 : x
  2. Step 2: Convert to fraction form
    75,634.29/104,374.31 = 42,100.29/x
  3. Step 3: Cross multiply
    75,634.29x = 104,374.31 × 42,100.29
  4. Step 4: Simplify right side
    75,634.29x = 4,394,188,509.05
  5. Step 5: Solve for x
    x = 4,394,188,509.05/75,634.29
  6. Step 6: Final answer
    x = 58,097.84

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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.