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Finding the Fourth Proportional to 50,646, 75,776.25 and 30,581.64

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Solution

The fourth proportional to 50,646, 75,776.25 and 30,581.64 is: 45,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646 : 75,776.25 = 30,581.64 : x
  2. Step 2: Convert to fraction form
    50,646/75,776.25 = 30,581.64/x
  3. Step 3: Cross multiply
    50,646x = 75,776.25 × 30,581.64
  4. Step 4: Simplify right side
    50,646x = 2,317,361,998.05
  5. Step 5: Solve for x
    x = 2,317,361,998.05/50,646
  6. Step 6: Final answer
    x = 45,756.07

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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.