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Finding the Fourth Proportional to 36,784.25, 50,758.76 and 20,647.87

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Solution

The fourth proportional to 36,784.25, 50,758.76 and 20,647.87 is: 28,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.25 : 50,758.76 = 20,647.87 : x
  2. Step 2: Convert to fraction form
    36,784.25/50,758.76 = 20,647.87/x
  3. Step 3: Cross multiply
    36,784.25x = 50,758.76 × 20,647.87
  4. Step 4: Simplify right side
    36,784.25x = 1,048,060,024.05
  5. Step 5: Solve for x
    x = 1,048,060,024.05/36,784.25
  6. Step 6: Final answer
    x = 28,492.09

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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.