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Finding the Fourth Proportional to 36,846.24, 50,848.80 and 20,080.32

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Solution

The fourth proportional to 36,846.24, 50,848.80 and 20,080.32 is: 27,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846.24 : 50,848.80 = 20,080.32 : x
  2. Step 2: Convert to fraction form
    36,846.24/50,848.80 = 20,080.32/x
  3. Step 3: Cross multiply
    36,846.24x = 50,848.80 × 20,080.32
  4. Step 4: Simplify right side
    36,846.24x = 1,021,060,175.62
  5. Step 5: Solve for x
    x = 1,021,060,175.62/36,846.24
  6. Step 6: Final answer
    x = 27,711.38

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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.