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Finding the Fourth Proportional to 47,805.48, 65,970.18 and 27,665.64

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Solution

The fourth proportional to 47,805.48, 65,970.18 and 27,665.64 is: 38,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.48 : 65,970.18 = 27,665.64 : x
  2. Step 2: Convert to fraction form
    47,805.48/65,970.18 = 27,665.64/x
  3. Step 3: Cross multiply
    47,805.48x = 65,970.18 × 27,665.64
  4. Step 4: Simplify right side
    47,805.48x = 1,825,107,250.62
  5. Step 5: Solve for x
    x = 1,825,107,250.62/47,805.48
  6. Step 6: Final answer
    x = 38,177.78

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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.