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Finding the Fourth Proportional to 36,893.50, 50,913.30 and 20,126.50

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Solution

The fourth proportional to 36,893.50, 50,913.30 and 20,126.50 is: 27,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,893.50 : 50,913.30 = 20,126.50 : x
  2. Step 2: Convert to fraction form
    36,893.50/50,913.30 = 20,126.50/x
  3. Step 3: Cross multiply
    36,893.50x = 50,913.30 × 20,126.50
  4. Step 4: Simplify right side
    36,893.50x = 1,024,706,532.45
  5. Step 5: Solve for x
    x = 1,024,706,532.45/36,893.50
  6. Step 6: Final answer
    x = 27,774.72

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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.