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Finding the Fourth Proportional to 48,772, 67,299.96 and 27,546.76

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Solution

The fourth proportional to 48,772, 67,299.96 and 27,546.76 is: 38,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,772 : 67,299.96 = 27,546.76 : x
  2. Step 2: Convert to fraction form
    48,772/67,299.96 = 27,546.76/x
  3. Step 3: Cross multiply
    48,772x = 67,299.96 × 27,546.76
  4. Step 4: Simplify right side
    48,772x = 1,853,895,846.13
  5. Step 5: Solve for x
    x = 1,853,895,846.13/48,772
  6. Step 6: Final answer
    x = 38,011.48

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1.5x scale

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.