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Finding the Fourth Proportional to 23,296.50, 34,945.02 and 5,766.48

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Solution

The fourth proportional to 23,296.50, 34,945.02 and 5,766.48 is: 8,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.50 : 34,945.02 = 5,766.48 : x
  2. Step 2: Convert to fraction form
    23,296.50/34,945.02 = 5,766.48/x
  3. Step 3: Cross multiply
    23,296.50x = 34,945.02 × 5,766.48
  4. Step 4: Simplify right side
    23,296.50x = 201,509,758.93
  5. Step 5: Solve for x
    x = 201,509,758.93/23,296.50
  6. Step 6: Final answer
    x = 8,649.79

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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.