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Finding the Fourth Proportional to 47,809.48, 65,979.21 and 27,667.30

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Solution

The fourth proportional to 47,809.48, 65,979.21 and 27,667.30 is: 38,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.48 : 65,979.21 = 27,667.30 : x
  2. Step 2: Convert to fraction form
    47,809.48/65,979.21 = 27,667.30/x
  3. Step 3: Cross multiply
    47,809.48x = 65,979.21 × 27,667.30
  4. Step 4: Simplify right side
    47,809.48x = 1,825,466,596.83
  5. Step 5: Solve for x
    x = 1,825,466,596.83/47,809.48
  6. Step 6: Final answer
    x = 38,182.11

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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.