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Finding the Fourth Proportional to 30,617.47, 42,251.38 and 17,189.29

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Solution

The fourth proportional to 30,617.47, 42,251.38 and 17,189.29 is: 23,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.47 : 42,251.38 = 17,189.29 : x
  2. Step 2: Convert to fraction form
    30,617.47/42,251.38 = 17,189.29/x
  3. Step 3: Cross multiply
    30,617.47x = 42,251.38 × 17,189.29
  4. Step 4: Simplify right side
    30,617.47x = 726,271,223.72
  5. Step 5: Solve for x
    x = 726,271,223.72/30,617.47
  6. Step 6: Final answer
    x = 23,720.81

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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.