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Finding the Fourth Proportional to 30,322.08, 41,796 and 20,230.56

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Solution

The fourth proportional to 30,322.08, 41,796 and 20,230.56 is: 27,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322.08 : 41,796 = 20,230.56 : x
  2. Step 2: Convert to fraction form
    30,322.08/41,796 = 20,230.56/x
  3. Step 3: Cross multiply
    30,322.08x = 41,796 × 20,230.56
  4. Step 4: Simplify right side
    30,322.08x = 845,556,485.76
  5. Step 5: Solve for x
    x = 845,556,485.76/30,322.08
  6. Step 6: Final answer
    x = 27,885.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.