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Finding the Fourth Proportional to 105,610.73, 158,414.61 and 25,649.24

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Solution

The fourth proportional to 105,610.73, 158,414.61 and 25,649.24 is: 38,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,610.73 : 158,414.61 = 25,649.24 : x
  2. Step 2: Convert to fraction form
    105,610.73/158,414.61 = 25,649.24/x
  3. Step 3: Cross multiply
    105,610.73x = 158,414.61 × 25,649.24
  4. Step 4: Simplify right side
    105,610.73x = 4,063,213,559.32
  5. Step 5: Solve for x
    x = 4,063,213,559.32/105,610.73
  6. Step 6: Final answer
    x = 38,473.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.