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Finding the Fourth Proportional to 30,720.36, 42,398.18 and 17,294.27

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Solution

The fourth proportional to 30,720.36, 42,398.18 and 17,294.27 is: 23,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.36 : 42,398.18 = 17,294.27 : x
  2. Step 2: Convert to fraction form
    30,720.36/42,398.18 = 17,294.27/x
  3. Step 3: Cross multiply
    30,720.36x = 42,398.18 × 17,294.27
  4. Step 4: Simplify right side
    30,720.36x = 733,245,273.97
  5. Step 5: Solve for x
    x = 733,245,273.97/30,720.36
  6. Step 6: Final answer
    x = 23,868.38

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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.