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Finding the Fourth Proportional to 20,029.50, 30,037.86 and 6,878.70

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Solution

The fourth proportional to 20,029.50, 30,037.86 and 6,878.70 is: 10,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.50 : 30,037.86 = 6,878.70 : x
  2. Step 2: Convert to fraction form
    20,029.50/30,037.86 = 6,878.70/x
  3. Step 3: Cross multiply
    20,029.50x = 30,037.86 × 6,878.70
  4. Step 4: Simplify right side
    20,029.50x = 206,621,427.58
  5. Step 5: Solve for x
    x = 206,621,427.58/20,029.50
  6. Step 6: Final answer
    x = 10,315.86

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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.