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Finding the Fourth Proportional to 47,769.91, 65,923.84 and 27,624.87

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Solution

The fourth proportional to 47,769.91, 65,923.84 and 27,624.87 is: 38,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.91 : 65,923.84 = 27,624.87 : x
  2. Step 2: Convert to fraction form
    47,769.91/65,923.84 = 27,624.87/x
  3. Step 3: Cross multiply
    47,769.91x = 65,923.84 × 27,624.87
  4. Step 4: Simplify right side
    47,769.91x = 1,821,137,371.78
  5. Step 5: Solve for x
    x = 1,821,137,371.78/47,769.91
  6. Step 6: Final answer
    x = 38,123.11

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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.