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Finding the Fourth Proportional to 34,968.84, 52,441.90 and 11,589

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Solution

The fourth proportional to 34,968.84, 52,441.90 and 11,589 is: 17,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968.84 : 52,441.90 = 11,589 : x
  2. Step 2: Convert to fraction form
    34,968.84/52,441.90 = 11,589/x
  3. Step 3: Cross multiply
    34,968.84x = 52,441.90 × 11,589
  4. Step 4: Simplify right side
    34,968.84x = 607,749,179.10
  5. Step 5: Solve for x
    x = 607,749,179.10/34,968.84
  6. Step 6: Final answer
    x = 17,379.74

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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.