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Finding the Fourth Proportional to 50,646.75, 75,777.36 and 30,582.39

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Solution

The fourth proportional to 50,646.75, 75,777.36 and 30,582.39 is: 45,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,646.75 : 75,777.36 = 30,582.39 : x
  2. Step 2: Convert to fraction form
    50,646.75/75,777.36 = 30,582.39/x
  3. Step 3: Cross multiply
    50,646.75x = 75,777.36 × 30,582.39
  4. Step 4: Simplify right side
    50,646.75x = 2,317,452,776.69
  5. Step 5: Solve for x
    x = 2,317,452,776.69/50,646.75
  6. Step 6: Final answer
    x = 45,757.19

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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.