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Finding the Fourth Proportional to 27,157.97, 40,748.21 and 14,663.31

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Solution

The fourth proportional to 27,157.97, 40,748.21 and 14,663.31 is: 22,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.97 : 40,748.21 = 14,663.31 : x
  2. Step 2: Convert to fraction form
    27,157.97/40,748.21 = 14,663.31/x
  3. Step 3: Cross multiply
    27,157.97x = 40,748.21 × 14,663.31
  4. Step 4: Simplify right side
    27,157.97x = 597,503,561.86
  5. Step 5: Solve for x
    x = 597,503,561.86/27,157.97
  6. Step 6: Final answer
    x = 22,001.04

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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.