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Finding the Fourth Proportional to 50,771, 76,191.08 and 30,525.32

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Solution

The fourth proportional to 50,771, 76,191.08 and 30,525.32 is: 45,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,771 : 76,191.08 = 30,525.32 : x
  2. Step 2: Convert to fraction form
    50,771/76,191.08 = 30,525.32/x
  3. Step 3: Cross multiply
    50,771x = 76,191.08 × 30,525.32
  4. Step 4: Simplify right side
    50,771x = 2,325,757,098.15
  5. Step 5: Solve for x
    x = 2,325,757,098.15/50,771
  6. Step 6: Final answer
    x = 45,808.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.