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Finding the Fourth Proportional to 47,769.66, 65,923.49 and 27,624.62

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Solution

The fourth proportional to 47,769.66, 65,923.49 and 27,624.62 is: 38,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.66 : 65,923.49 = 27,624.62 : x
  2. Step 2: Convert to fraction form
    47,769.66/65,923.49 = 27,624.62/x
  3. Step 3: Cross multiply
    47,769.66x = 65,923.49 × 27,624.62
  4. Step 4: Simplify right side
    47,769.66x = 1,821,111,360.32
  5. Step 5: Solve for x
    x = 1,821,111,360.32/47,769.66
  6. Step 6: Final answer
    x = 38,122.76

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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.