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Finding the Fourth Proportional to 76,226.67, 114,319.35 and 31,844.14

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Solution

The fourth proportional to 76,226.67, 114,319.35 and 31,844.14 is: 47,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,226.67 : 114,319.35 = 31,844.14 : x
  2. Step 2: Convert to fraction form
    76,226.67/114,319.35 = 31,844.14/x
  3. Step 3: Cross multiply
    76,226.67x = 114,319.35 × 31,844.14
  4. Step 4: Simplify right side
    76,226.67x = 3,640,401,100.31
  5. Step 5: Solve for x
    x = 3,640,401,100.31/76,226.67
  6. Step 6: Final answer
    x = 47,757.58

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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.