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Finding the Fourth Proportional to 47,805.24, 71,706.24 and 18,222

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Solution

The fourth proportional to 47,805.24, 71,706.24 and 18,222 is: 27,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.24 : 71,706.24 = 18,222 : x
  2. Step 2: Convert to fraction form
    47,805.24/71,706.24 = 18,222/x
  3. Step 3: Cross multiply
    47,805.24x = 71,706.24 × 18,222
  4. Step 4: Simplify right side
    47,805.24x = 1,306,631,105.28
  5. Step 5: Solve for x
    x = 1,306,631,105.28/47,805.24
  6. Step 6: Final answer
    x = 27,332.38

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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.