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Finding the Fourth Proportional to 30,201.60, 45,295.92 and 9,413.76

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Solution

The fourth proportional to 30,201.60, 45,295.92 and 9,413.76 is: 14,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.60 : 45,295.92 = 9,413.76 : x
  2. Step 2: Convert to fraction form
    30,201.60/45,295.92 = 9,413.76/x
  3. Step 3: Cross multiply
    30,201.60x = 45,295.92 × 9,413.76
  4. Step 4: Simplify right side
    30,201.60x = 426,404,919.86
  5. Step 5: Solve for x
    x = 426,404,919.86/30,201.60
  6. Step 6: Final answer
    x = 14,118.62

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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.