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Finding the Fourth Proportional to 47,524, 65,583.12 and 27,652

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Solution

The fourth proportional to 47,524, 65,583.12 and 27,652 is: 38,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,524 : 65,583.12 = 27,652 : x
  2. Step 2: Convert to fraction form
    47,524/65,583.12 = 27,652/x
  3. Step 3: Cross multiply
    47,524x = 65,583.12 × 27,652
  4. Step 4: Simplify right side
    47,524x = 1,813,504,434.24
  5. Step 5: Solve for x
    x = 1,813,504,434.24/47,524
  6. Step 6: Final answer
    x = 38,159.76

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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.