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Finding the Fourth Proportional to 37,213.50, 51,354.63 and 20,446.50

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Solution

The fourth proportional to 37,213.50, 51,354.63 and 20,446.50 is: 28,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,213.50 : 51,354.63 = 20,446.50 : x
  2. Step 2: Convert to fraction form
    37,213.50/51,354.63 = 20,446.50/x
  3. Step 3: Cross multiply
    37,213.50x = 51,354.63 × 20,446.50
  4. Step 4: Simplify right side
    37,213.50x = 1,050,022,442.30
  5. Step 5: Solve for x
    x = 1,050,022,442.30/37,213.50
  6. Step 6: Final answer
    x = 28,216.17

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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.