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Finding the Fourth Proportional to 47,670.97, 65,797.83 and 27,539.53

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Solution

The fourth proportional to 47,670.97, 65,797.83 and 27,539.53 is: 38,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670.97 : 65,797.83 = 27,539.53 : x
  2. Step 2: Convert to fraction form
    47,670.97/65,797.83 = 27,539.53/x
  3. Step 3: Cross multiply
    47,670.97x = 65,797.83 × 27,539.53
  4. Step 4: Simplify right side
    47,670.97x = 1,812,040,937.62
  5. Step 5: Solve for x
    x = 1,812,040,937.62/47,670.97
  6. Step 6: Final answer
    x = 38,011.42

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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.