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Finding the Fourth Proportional to 30,135.40, 45,194.46 and 10,413.16

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Solution

The fourth proportional to 30,135.40, 45,194.46 and 10,413.16 is: 15,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.40 : 45,194.46 = 10,413.16 : x
  2. Step 2: Convert to fraction form
    30,135.40/45,194.46 = 10,413.16/x
  3. Step 3: Cross multiply
    30,135.40x = 45,194.46 × 10,413.16
  4. Step 4: Simplify right side
    30,135.40x = 470,617,143.09
  5. Step 5: Solve for x
    x = 470,617,143.09/30,135.40
  6. Step 6: Final answer
    x = 15,616.75

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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.