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Finding the Fourth Proportional to 20,536.92, 30,805.29 and 4,954.50

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Solution

The fourth proportional to 20,536.92, 30,805.29 and 4,954.50 is: 7,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.92 : 30,805.29 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    20,536.92/30,805.29 = 4,954.50/x
  3. Step 3: Cross multiply
    20,536.92x = 30,805.29 × 4,954.50
  4. Step 4: Simplify right side
    20,536.92x = 152,624,809.31
  5. Step 5: Solve for x
    x = 152,624,809.31/20,536.92
  6. Step 6: Final answer
    x = 7,431.73

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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.