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Finding the Fourth Proportional to 47,687.53, 65,814.62 and 27,544.39

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Solution

The fourth proportional to 47,687.53, 65,814.62 and 27,544.39 is: 38,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.53 : 65,814.62 = 27,544.39 : x
  2. Step 2: Convert to fraction form
    47,687.53/65,814.62 = 27,544.39/x
  3. Step 3: Cross multiply
    47,687.53x = 65,814.62 × 27,544.39
  4. Step 4: Simplify right side
    47,687.53x = 1,812,823,560.98
  5. Step 5: Solve for x
    x = 1,812,823,560.98/47,687.53
  6. Step 6: Final answer
    x = 38,014.62

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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.