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Finding the Fourth Proportional to 47,814.85, 65,981.66 and 27,670.30

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Solution

The fourth proportional to 47,814.85, 65,981.66 and 27,670.30 is: 38,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814.85 : 65,981.66 = 27,670.30 : x
  2. Step 2: Convert to fraction form
    47,814.85/65,981.66 = 27,670.30/x
  3. Step 3: Cross multiply
    47,814.85x = 65,981.66 × 27,670.30
  4. Step 4: Simplify right side
    47,814.85x = 1,825,732,023.39
  5. Step 5: Solve for x
    x = 1,825,732,023.39/47,814.85
  6. Step 6: Final answer
    x = 38,183.37

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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.