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Finding the Fourth Proportional to 34,433.46, 51,589.05 and 14,398.80

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Solution

The fourth proportional to 34,433.46, 51,589.05 and 14,398.80 is: 21,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,433.46 : 51,589.05 = 14,398.80 : x
  2. Step 2: Convert to fraction form
    34,433.46/51,589.05 = 14,398.80/x
  3. Step 3: Cross multiply
    34,433.46x = 51,589.05 × 14,398.80
  4. Step 4: Simplify right side
    34,433.46x = 742,820,413.14
  5. Step 5: Solve for x
    x = 742,820,413.14/34,433.46
  6. Step 6: Final answer
    x = 21,572.63

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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.