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Finding the Fourth Proportional to 122,776.20, 184,163.48 and 31,591.46

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Solution

The fourth proportional to 122,776.20, 184,163.48 and 31,591.46 is: 47,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,776.20 : 184,163.48 = 31,591.46 : x
  2. Step 2: Convert to fraction form
    122,776.20/184,163.48 = 31,591.46/x
  3. Step 3: Cross multiply
    122,776.20x = 184,163.48 × 31,591.46
  4. Step 4: Simplify right side
    122,776.20x = 5,817,993,211.88
  5. Step 5: Solve for x
    x = 5,817,993,211.88/122,776.20
  6. Step 6: Final answer
    x = 47,386.98

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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.