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Finding the Fourth Proportional to 47,816.40, 65,982 and 27,669.27

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Solution

The fourth proportional to 47,816.40, 65,982 and 27,669.27 is: 38,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816.40 : 65,982 = 27,669.27 : x
  2. Step 2: Convert to fraction form
    47,816.40/65,982 = 27,669.27/x
  3. Step 3: Cross multiply
    47,816.40x = 65,982 × 27,669.27
  4. Step 4: Simplify right side
    47,816.40x = 1,825,673,773.14
  5. Step 5: Solve for x
    x = 1,825,673,773.14/47,816.40
  6. Step 6: Final answer
    x = 38,180.91

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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.