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Finding the Fourth Proportional to 47,710.84, 65,843.94 and 27,571.41

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Solution

The fourth proportional to 47,710.84, 65,843.94 and 27,571.41 is: 38,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,710.84 : 65,843.94 = 27,571.41 : x
  2. Step 2: Convert to fraction form
    47,710.84/65,843.94 = 27,571.41/x
  3. Step 3: Cross multiply
    47,710.84x = 65,843.94 × 27,571.41
  4. Step 4: Simplify right side
    47,710.84x = 1,815,410,265.76
  5. Step 5: Solve for x
    x = 1,815,410,265.76/47,710.84
  6. Step 6: Final answer
    x = 38,050.27

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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.