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Finding the Fourth Proportional to 36,120.19, 49,849.61 and 20,807.27

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Solution

The fourth proportional to 36,120.19, 49,849.61 and 20,807.27 is: 28,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,120.19 : 49,849.61 = 20,807.27 : x
  2. Step 2: Convert to fraction form
    36,120.19/49,849.61 = 20,807.27/x
  3. Step 3: Cross multiply
    36,120.19x = 49,849.61 × 20,807.27
  4. Step 4: Simplify right side
    36,120.19x = 1,037,233,941.38
  5. Step 5: Solve for x
    x = 1,037,233,941.38/36,120.19
  6. Step 6: Final answer
    x = 28,716.19

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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.