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Finding the Fourth Proportional to 20,200.83, 30,300.78 and 5,409.75

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Solution

The fourth proportional to 20,200.83, 30,300.78 and 5,409.75 is: 8,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.83 : 30,300.78 = 5,409.75 : x
  2. Step 2: Convert to fraction form
    20,200.83/30,300.78 = 5,409.75/x
  3. Step 3: Cross multiply
    20,200.83x = 30,300.78 × 5,409.75
  4. Step 4: Simplify right side
    20,200.83x = 163,919,644.61
  5. Step 5: Solve for x
    x = 163,919,644.61/20,200.83
  6. Step 6: Final answer
    x = 8,114.50

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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.