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Finding the Fourth Proportional to 50,994.80, 76,462.50 and 19,793.60

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Solution

The fourth proportional to 50,994.80, 76,462.50 and 19,793.60 is: 29,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994.80 : 76,462.50 = 19,793.60 : x
  2. Step 2: Convert to fraction form
    50,994.80/76,462.50 = 19,793.60/x
  3. Step 3: Cross multiply
    50,994.80x = 76,462.50 × 19,793.60
  4. Step 4: Simplify right side
    50,994.80x = 1,513,468,140
  5. Step 5: Solve for x
    x = 1,513,468,140/50,994.80
  6. Step 6: Final answer
    x = 29,678.87

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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.