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Finding the Fourth Proportional to 27,292.50, 40,945.23 and 8,824.50

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Solution

The fourth proportional to 27,292.50, 40,945.23 and 8,824.50 is: 13,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,292.50 : 40,945.23 = 8,824.50 : x
  2. Step 2: Convert to fraction form
    27,292.50/40,945.23 = 8,824.50/x
  3. Step 3: Cross multiply
    27,292.50x = 40,945.23 × 8,824.50
  4. Step 4: Simplify right side
    27,292.50x = 361,321,182.14
  5. Step 5: Solve for x
    x = 361,321,182.14/27,292.50
  6. Step 6: Final answer
    x = 13,238.85

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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.