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Finding the Fourth Proportional to 81,501.78, 122,336.50 and 49,933.64

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Solution

The fourth proportional to 81,501.78, 122,336.50 and 49,933.64 is: 74,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,501.78 : 122,336.50 = 49,933.64 : x
  2. Step 2: Convert to fraction form
    81,501.78/122,336.50 = 49,933.64/x
  3. Step 3: Cross multiply
    81,501.78x = 122,336.50 × 49,933.64
  4. Step 4: Simplify right side
    81,501.78x = 6,108,706,749.86
  5. Step 5: Solve for x
    x = 6,108,706,749.86/81,501.78
  6. Step 6: Final answer
    x = 74,951.82

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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.