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Finding the Fourth Proportional to 30,213.05, 45,324.18 and 15,413.90

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Solution

The fourth proportional to 30,213.05, 45,324.18 and 15,413.90 is: 23,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.05 : 45,324.18 = 15,413.90 : x
  2. Step 2: Convert to fraction form
    30,213.05/45,324.18 = 15,413.90/x
  3. Step 3: Cross multiply
    30,213.05x = 45,324.18 × 15,413.90
  4. Step 4: Simplify right side
    30,213.05x = 698,622,151.48
  5. Step 5: Solve for x
    x = 698,622,151.48/30,213.05
  6. Step 6: Final answer
    x = 23,123.19

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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.