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Finding the Fourth Proportional to 53,930.31, 80,902.76 and 50,649.81

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Solution

The fourth proportional to 53,930.31, 80,902.76 and 50,649.81 is: 75,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,930.31 : 80,902.76 = 50,649.81 : x
  2. Step 2: Convert to fraction form
    53,930.31/80,902.76 = 50,649.81/x
  3. Step 3: Cross multiply
    53,930.31x = 80,902.76 × 50,649.81
  4. Step 4: Simplify right side
    53,930.31x = 4,097,709,169.23
  5. Step 5: Solve for x
    x = 4,097,709,169.23/53,930.31
  6. Step 6: Final answer
    x = 75,981.56

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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.