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Finding the Fourth Proportional to 47,525, 65,584.50 and 27,653

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Solution

The fourth proportional to 47,525, 65,584.50 and 27,653 is: 38,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,525 : 65,584.50 = 27,653 : x
  2. Step 2: Convert to fraction form
    47,525/65,584.50 = 27,653/x
  3. Step 3: Cross multiply
    47,525x = 65,584.50 × 27,653
  4. Step 4: Simplify right side
    47,525x = 1,813,608,178.50
  5. Step 5: Solve for x
    x = 1,813,608,178.50/47,525
  6. Step 6: Final answer
    x = 38,161.14

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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.