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Finding the Fourth Proportional to 30,413.78, 45,622.68 and 14,622.14

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Solution

The fourth proportional to 30,413.78, 45,622.68 and 14,622.14 is: 21,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.78 : 45,622.68 = 14,622.14 : x
  2. Step 2: Convert to fraction form
    30,413.78/45,622.68 = 14,622.14/x
  3. Step 3: Cross multiply
    30,413.78x = 45,622.68 × 14,622.14
  4. Step 4: Simplify right side
    30,413.78x = 667,101,214.14
  5. Step 5: Solve for x
    x = 667,101,214.14/30,413.78
  6. Step 6: Final answer
    x = 21,934.18

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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.