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Finding the Fourth Proportional to 29,413.84, 44,116.09 and 24,448.09

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Solution

The fourth proportional to 29,413.84, 44,116.09 and 24,448.09 is: 36,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,413.84 : 44,116.09 = 24,448.09 : x
  2. Step 2: Convert to fraction form
    29,413.84/44,116.09 = 24,448.09/x
  3. Step 3: Cross multiply
    29,413.84x = 44,116.09 × 24,448.09
  4. Step 4: Simplify right side
    29,413.84x = 1,078,554,138.77
  5. Step 5: Solve for x
    x = 1,078,554,138.77/29,413.84
  6. Step 6: Final answer
    x = 36,668.25

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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.