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Finding the Fourth Proportional to 20,448.50, 30,671.04 and 5,657.60

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Solution

The fourth proportional to 20,448.50, 30,671.04 and 5,657.60 is: 8,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.50 : 30,671.04 = 5,657.60 : x
  2. Step 2: Convert to fraction form
    20,448.50/30,671.04 = 5,657.60/x
  3. Step 3: Cross multiply
    20,448.50x = 30,671.04 × 5,657.60
  4. Step 4: Simplify right side
    20,448.50x = 173,524,475.90
  5. Step 5: Solve for x
    x = 173,524,475.90/20,448.50
  6. Step 6: Final answer
    x = 8,485.93

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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.