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Finding the Fourth Proportional to 27,612.54, 38,100 and 17,542.62

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Solution

The fourth proportional to 27,612.54, 38,100 and 17,542.62 is: 24,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612.54 : 38,100 = 17,542.62 : x
  2. Step 2: Convert to fraction form
    27,612.54/38,100 = 17,542.62/x
  3. Step 3: Cross multiply
    27,612.54x = 38,100 × 17,542.62
  4. Step 4: Simplify right side
    27,612.54x = 668,373,822
  5. Step 5: Solve for x
    x = 668,373,822/27,612.54
  6. Step 6: Final answer
    x = 24,205.45

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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.