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Finding the Fourth Proportional to 20,076.96, 30,115.98 and 6,750.46

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Solution

The fourth proportional to 20,076.96, 30,115.98 and 6,750.46 is: 10,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.96 : 30,115.98 = 6,750.46 : x
  2. Step 2: Convert to fraction form
    20,076.96/30,115.98 = 6,750.46/x
  3. Step 3: Cross multiply
    20,076.96x = 30,115.98 × 6,750.46
  4. Step 4: Simplify right side
    20,076.96x = 203,296,821.71
  5. Step 5: Solve for x
    x = 203,296,821.71/20,076.96
  6. Step 6: Final answer
    x = 10,125.87

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