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Finding the Fourth Proportional to 20,029.32, 30,038.85 and 5,989.32

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Solution

The fourth proportional to 20,029.32, 30,038.85 and 5,989.32 is: 8,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.32 : 30,038.85 = 5,989.32 : x
  2. Step 2: Convert to fraction form
    20,029.32/30,038.85 = 5,989.32/x
  3. Step 3: Cross multiply
    20,029.32x = 30,038.85 × 5,989.32
  4. Step 4: Simplify right side
    20,029.32x = 179,912,285.08
  5. Step 5: Solve for x
    x = 179,912,285.08/20,029.32
  6. Step 6: Final answer
    x = 8,982.45

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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.