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Finding the Fourth Proportional to 30,413.98, 45,620.01 and 9,353.17

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Solution

The fourth proportional to 30,413.98, 45,620.01 and 9,353.17 is: 14,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.98 : 45,620.01 = 9,353.17 : x
  2. Step 2: Convert to fraction form
    30,413.98/45,620.01 = 9,353.17/x
  3. Step 3: Cross multiply
    30,413.98x = 45,620.01 × 9,353.17
  4. Step 4: Simplify right side
    30,413.98x = 426,691,765.96
  5. Step 5: Solve for x
    x = 426,691,765.96/30,413.98
  6. Step 6: Final answer
    x = 14,029.46

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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.