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Finding the Fourth Proportional to 36,863.76, 50,871.84 and 20,096.76

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Solution

The fourth proportional to 36,863.76, 50,871.84 and 20,096.76 is: 27,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,863.76 : 50,871.84 = 20,096.76 : x
  2. Step 2: Convert to fraction form
    36,863.76/50,871.84 = 20,096.76/x
  3. Step 3: Cross multiply
    36,863.76x = 50,871.84 × 20,096.76
  4. Step 4: Simplify right side
    36,863.76x = 1,022,359,159.24
  5. Step 5: Solve for x
    x = 1,022,359,159.24/36,863.76
  6. Step 6: Final answer
    x = 27,733.45

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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.