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Finding the Fourth Proportional to 20,039.64, 30,057.15 and 5,250

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Solution

The fourth proportional to 20,039.64, 30,057.15 and 5,250 is: 7,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,039.64 : 30,057.15 = 5,250 : x
  2. Step 2: Convert to fraction form
    20,039.64/30,057.15 = 5,250/x
  3. Step 3: Cross multiply
    20,039.64x = 30,057.15 × 5,250
  4. Step 4: Simplify right side
    20,039.64x = 157,800,037.50
  5. Step 5: Solve for x
    x = 157,800,037.50/20,039.64
  6. Step 6: Final answer
    x = 7,874.39

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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.