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Finding the Fourth Proportional to 27,892.79, 41,830.29 and 9,168.49

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Solution

The fourth proportional to 27,892.79, 41,830.29 and 9,168.49 is: 13,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.79 : 41,830.29 = 9,168.49 : x
  2. Step 2: Convert to fraction form
    27,892.79/41,830.29 = 9,168.49/x
  3. Step 3: Cross multiply
    27,892.79x = 41,830.29 × 9,168.49
  4. Step 4: Simplify right side
    27,892.79x = 383,520,490.99
  5. Step 5: Solve for x
    x = 383,520,490.99/27,892.79
  6. Step 6: Final answer
    x = 13,749.81

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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.