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Finding the Fourth Proportional to 20,529.25, 30,793.87 and 4,946.87

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Solution

The fourth proportional to 20,529.25, 30,793.87 and 4,946.87 is: 7,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.25 : 30,793.87 = 4,946.87 : x
  2. Step 2: Convert to fraction form
    20,529.25/30,793.87 = 4,946.87/x
  3. Step 3: Cross multiply
    20,529.25x = 30,793.87 × 4,946.87
  4. Step 4: Simplify right side
    20,529.25x = 152,333,354.86
  5. Step 5: Solve for x
    x = 152,333,354.86/20,529.25
  6. Step 6: Final answer
    x = 7,420.31

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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.