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Finding the Fourth Proportional to 75,415.66, 113,142.17 and 22,825.29

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Solution

The fourth proportional to 75,415.66, 113,142.17 and 22,825.29 is: 34,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.66 : 113,142.17 = 22,825.29 : x
  2. Step 2: Convert to fraction form
    75,415.66/113,142.17 = 22,825.29/x
  3. Step 3: Cross multiply
    75,415.66x = 113,142.17 × 22,825.29
  4. Step 4: Simplify right side
    75,415.66x = 2,582,503,194.43
  5. Step 5: Solve for x
    x = 2,582,503,194.43/75,415.66
  6. Step 6: Final answer
    x = 34,243.59

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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.