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Finding the Fourth Proportional to 30,211.96, 45,314.25 and 15,431.53

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Solution

The fourth proportional to 30,211.96, 45,314.25 and 15,431.53 is: 23,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.96 : 45,314.25 = 15,431.53 : x
  2. Step 2: Convert to fraction form
    30,211.96/45,314.25 = 15,431.53/x
  3. Step 3: Cross multiply
    30,211.96x = 45,314.25 × 15,431.53
  4. Step 4: Simplify right side
    30,211.96x = 699,268,208.30
  5. Step 5: Solve for x
    x = 699,268,208.30/30,211.96
  6. Step 6: Final answer
    x = 23,145.41

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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.