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Finding the Fourth Proportional to 52,047.67, 78,059.83 and 23,940.73

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Solution

The fourth proportional to 52,047.67, 78,059.83 and 23,940.73 is: 35,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.67 : 78,059.83 = 23,940.73 : x
  2. Step 2: Convert to fraction form
    52,047.67/78,059.83 = 23,940.73/x
  3. Step 3: Cross multiply
    52,047.67x = 78,059.83 × 23,940.73
  4. Step 4: Simplify right side
    52,047.67x = 1,868,809,396.49
  5. Step 5: Solve for x
    x = 1,868,809,396.49/52,047.67
  6. Step 6: Final answer
    x = 35,905.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.