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Finding the Fourth Proportional to 36,978.04, 50,911.50 and 29,927.80

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Solution

The fourth proportional to 36,978.04, 50,911.50 and 29,927.80 is: 41,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.04 : 50,911.50 = 29,927.80 : x
  2. Step 2: Convert to fraction form
    36,978.04/50,911.50 = 29,927.80/x
  3. Step 3: Cross multiply
    36,978.04x = 50,911.50 × 29,927.80
  4. Step 4: Simplify right side
    36,978.04x = 1,523,669,189.70
  5. Step 5: Solve for x
    x = 1,523,669,189.70/36,978.04
  6. Step 6: Final answer
    x = 41,204.70

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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.