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Finding the Fourth Proportional to 30,593.81, 45,891.21 and 8,407.05

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Solution

The fourth proportional to 30,593.81, 45,891.21 and 8,407.05 is: 12,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,593.81 : 45,891.21 = 8,407.05 : x
  2. Step 2: Convert to fraction form
    30,593.81/45,891.21 = 8,407.05/x
  3. Step 3: Cross multiply
    30,593.81x = 45,891.21 × 8,407.05
  4. Step 4: Simplify right side
    30,593.81x = 385,809,556.46
  5. Step 5: Solve for x
    x = 385,809,556.46/30,593.81
  6. Step 6: Final answer
    x = 12,610.71

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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.