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Finding the Fourth Proportional to 36,094.92, 49,809.96 and 20,178.96

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Solution

The fourth proportional to 36,094.92, 49,809.96 and 20,178.96 is: 27,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094.92 : 49,809.96 = 20,178.96 : x
  2. Step 2: Convert to fraction form
    36,094.92/49,809.96 = 20,178.96/x
  3. Step 3: Cross multiply
    36,094.92x = 49,809.96 × 20,178.96
  4. Step 4: Simplify right side
    36,094.92x = 1,005,113,190.44
  5. Step 5: Solve for x
    x = 1,005,113,190.44/36,094.92
  6. Step 6: Final answer
    x = 27,846.39

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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.