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Finding the Fourth Proportional to 27,454.50, 41,157.32 and 9,920.43

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Solution

The fourth proportional to 27,454.50, 41,157.32 and 9,920.43 is: 14,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.50 : 41,157.32 = 9,920.43 : x
  2. Step 2: Convert to fraction form
    27,454.50/41,157.32 = 9,920.43/x
  3. Step 3: Cross multiply
    27,454.50x = 41,157.32 × 9,920.43
  4. Step 4: Simplify right side
    27,454.50x = 408,298,262.45
  5. Step 5: Solve for x
    x = 408,298,262.45/27,454.50
  6. Step 6: Final answer
    x = 14,871.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.