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Finding the Fourth Proportional to 30,101.88, 41,540.49 and 17,355

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Solution

The fourth proportional to 30,101.88, 41,540.49 and 17,355 is: 23,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.88 : 41,540.49 = 17,355 : x
  2. Step 2: Convert to fraction form
    30,101.88/41,540.49 = 17,355/x
  3. Step 3: Cross multiply
    30,101.88x = 41,540.49 × 17,355
  4. Step 4: Simplify right side
    30,101.88x = 720,935,203.95
  5. Step 5: Solve for x
    x = 720,935,203.95/30,101.88
  6. Step 6: Final answer
    x = 23,949.84

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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.