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Finding the Fourth Proportional to 77,309.37, 115,883.11 and 32,356.49

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Solution

The fourth proportional to 77,309.37, 115,883.11 and 32,356.49 is: 48,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.37 : 115,883.11 = 32,356.49 : x
  2. Step 2: Convert to fraction form
    77,309.37/115,883.11 = 32,356.49/x
  3. Step 3: Cross multiply
    77,309.37x = 115,883.11 × 32,356.49
  4. Step 4: Simplify right side
    77,309.37x = 3,749,570,150.91
  5. Step 5: Solve for x
    x = 3,749,570,150.91/77,309.37
  6. Step 6: Final answer
    x = 48,500.85

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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.