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Finding the Fourth Proportional to 30,611.76, 45,918.36 and 9,835.44

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Solution

The fourth proportional to 30,611.76, 45,918.36 and 9,835.44 is: 14,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.76 : 45,918.36 = 9,835.44 : x
  2. Step 2: Convert to fraction form
    30,611.76/45,918.36 = 9,835.44/x
  3. Step 3: Cross multiply
    30,611.76x = 45,918.36 × 9,835.44
  4. Step 4: Simplify right side
    30,611.76x = 451,627,274.68
  5. Step 5: Solve for x
    x = 451,627,274.68/30,611.76
  6. Step 6: Final answer
    x = 14,753.39

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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.