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Finding the Fourth Proportional to 30,635.96, 45,948.06 and 10,914.44

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Solution

The fourth proportional to 30,635.96, 45,948.06 and 10,914.44 is: 16,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,635.96 : 45,948.06 = 10,914.44 : x
  2. Step 2: Convert to fraction form
    30,635.96/45,948.06 = 10,914.44/x
  3. Step 3: Cross multiply
    30,635.96x = 45,948.06 × 10,914.44
  4. Step 4: Simplify right side
    30,635.96x = 501,497,343.99
  5. Step 5: Solve for x
    x = 501,497,343.99/30,635.96
  6. Step 6: Final answer
    x = 16,369.57

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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.