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Finding the Fourth Proportional to 47,805.48, 71,717.32 and 22,847.48

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Solution

The fourth proportional to 47,805.48, 71,717.32 and 22,847.48 is: 34,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.48 : 71,717.32 = 22,847.48 : x
  2. Step 2: Convert to fraction form
    47,805.48/71,717.32 = 22,847.48/x
  3. Step 3: Cross multiply
    47,805.48x = 71,717.32 × 22,847.48
  4. Step 4: Simplify right side
    47,805.48x = 1,638,560,034.35
  5. Step 5: Solve for x
    x = 1,638,560,034.35/47,805.48
  6. Step 6: Final answer
    x = 34,275.57

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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.