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Finding the Fourth Proportional to 30,142.32, 45,198.90 and 10,413.96

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Solution

The fourth proportional to 30,142.32, 45,198.90 and 10,413.96 is: 15,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.32 : 45,198.90 = 10,413.96 : x
  2. Step 2: Convert to fraction form
    30,142.32/45,198.90 = 10,413.96/x
  3. Step 3: Cross multiply
    30,142.32x = 45,198.90 × 10,413.96
  4. Step 4: Simplify right side
    30,142.32x = 470,699,536.64
  5. Step 5: Solve for x
    x = 470,699,536.64/30,142.32
  6. Step 6: Final answer
    x = 15,615.90

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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.