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Finding the Fourth Proportional to 30,138.66, 41,589.32 and 17,392.37

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Solution

The fourth proportional to 30,138.66, 41,589.32 and 17,392.37 is: 24,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.66 : 41,589.32 = 17,392.37 : x
  2. Step 2: Convert to fraction form
    30,138.66/41,589.32 = 17,392.37/x
  3. Step 3: Cross multiply
    30,138.66x = 41,589.32 × 17,392.37
  4. Step 4: Simplify right side
    30,138.66x = 723,336,858.50
  5. Step 5: Solve for x
    x = 723,336,858.50/30,138.66
  6. Step 6: Final answer
    x = 24,000.30

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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.