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Finding the Fourth Proportional to 20,027.44, 30,038 and 6,700.32

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Solution

The fourth proportional to 20,027.44, 30,038 and 6,700.32 is: 10,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.44 : 30,038 = 6,700.32 : x
  2. Step 2: Convert to fraction form
    20,027.44/30,038 = 6,700.32/x
  3. Step 3: Cross multiply
    20,027.44x = 30,038 × 6,700.32
  4. Step 4: Simplify right side
    20,027.44x = 201,264,212.16
  5. Step 5: Solve for x
    x = 201,264,212.16/20,027.44
  6. Step 6: Final answer
    x = 10,049.42

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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.