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Finding the Fourth Proportional to 34,698.54, 47,872.14 and 22,593.48

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Solution

The fourth proportional to 34,698.54, 47,872.14 and 22,593.48 is: 31,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698.54 : 47,872.14 = 22,593.48 : x
  2. Step 2: Convert to fraction form
    34,698.54/47,872.14 = 22,593.48/x
  3. Step 3: Cross multiply
    34,698.54x = 47,872.14 × 22,593.48
  4. Step 4: Simplify right side
    34,698.54x = 1,081,598,237.65
  5. Step 5: Solve for x
    x = 1,081,598,237.65/34,698.54
  6. Step 6: Final answer
    x = 31,171.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.