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Finding the Fourth Proportional to 50,800.50, 76,201.02 and 13,864.50

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Solution

The fourth proportional to 50,800.50, 76,201.02 and 13,864.50 is: 20,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,800.50 : 76,201.02 = 13,864.50 : x
  2. Step 2: Convert to fraction form
    50,800.50/76,201.02 = 13,864.50/x
  3. Step 3: Cross multiply
    50,800.50x = 76,201.02 × 13,864.50
  4. Step 4: Simplify right side
    50,800.50x = 1,056,489,041.79
  5. Step 5: Solve for x
    x = 1,056,489,041.79/50,800.50
  6. Step 6: Final answer
    x = 20,796.82

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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.