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Finding the Fourth Proportional to 50,066.78, 75,127.84 and 20,505.35

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Solution

The fourth proportional to 50,066.78, 75,127.84 and 20,505.35 is: 30,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066.78 : 75,127.84 = 20,505.35 : x
  2. Step 2: Convert to fraction form
    50,066.78/75,127.84 = 20,505.35/x
  3. Step 3: Cross multiply
    50,066.78x = 75,127.84 × 20,505.35
  4. Step 4: Simplify right side
    50,066.78x = 1,540,522,790.50
  5. Step 5: Solve for x
    x = 1,540,522,790.50/50,066.78
  6. Step 6: Final answer
    x = 30,769.36

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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.