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Finding the Fourth Proportional to 36,800, 50,784.18 and 20,033

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Solution

The fourth proportional to 36,800, 50,784.18 and 20,033 is: 27,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,800 : 50,784.18 = 20,033 : x
  2. Step 2: Convert to fraction form
    36,800/50,784.18 = 20,033/x
  3. Step 3: Cross multiply
    36,800x = 50,784.18 × 20,033
  4. Step 4: Simplify right side
    36,800x = 1,017,359,477.94
  5. Step 5: Solve for x
    x = 1,017,359,477.94/36,800
  6. Step 6: Final answer
    x = 27,645.64

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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.