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Finding the Fourth Proportional to 20,043.92, 30,068.76 and 6,194

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Solution

The fourth proportional to 20,043.92, 30,068.76 and 6,194 is: 9,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.92 : 30,068.76 = 6,194 : x
  2. Step 2: Convert to fraction form
    20,043.92/30,068.76 = 6,194/x
  3. Step 3: Cross multiply
    20,043.92x = 30,068.76 × 6,194
  4. Step 4: Simplify right side
    20,043.92x = 186,245,899.44
  5. Step 5: Solve for x
    x = 186,245,899.44/20,043.92
  6. Step 6: Final answer
    x = 9,291.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.