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Finding the Fourth Proportional to 20,644.92, 30,967.29 and 5,062.50

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Solution

The fourth proportional to 20,644.92, 30,967.29 and 5,062.50 is: 7,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,644.92 : 30,967.29 = 5,062.50 : x
  2. Step 2: Convert to fraction form
    20,644.92/30,967.29 = 5,062.50/x
  3. Step 3: Cross multiply
    20,644.92x = 30,967.29 × 5,062.50
  4. Step 4: Simplify right side
    20,644.92x = 156,771,905.63
  5. Step 5: Solve for x
    x = 156,771,905.63/20,644.92
  6. Step 6: Final answer
    x = 7,593.73

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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.