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Finding the Fourth Proportional to 75,626.50, 113,413.25 and 22,304.31

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Solution

The fourth proportional to 75,626.50, 113,413.25 and 22,304.31 is: 33,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,626.50 : 113,413.25 = 22,304.31 : x
  2. Step 2: Convert to fraction form
    75,626.50/113,413.25 = 22,304.31/x
  3. Step 3: Cross multiply
    75,626.50x = 113,413.25 × 22,304.31
  4. Step 4: Simplify right side
    75,626.50x = 2,529,604,286.11
  5. Step 5: Solve for x
    x = 2,529,604,286.11/75,626.50
  6. Step 6: Final answer
    x = 33,448.65

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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.