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Finding the Fourth Proportional to 34,611.44, 51,904.40 and 12,419.46

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Solution

The fourth proportional to 34,611.44, 51,904.40 and 12,419.46 is: 18,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.44 : 51,904.40 = 12,419.46 : x
  2. Step 2: Convert to fraction form
    34,611.44/51,904.40 = 12,419.46/x
  3. Step 3: Cross multiply
    34,611.44x = 51,904.40 × 12,419.46
  4. Step 4: Simplify right side
    34,611.44x = 644,624,557.53
  5. Step 5: Solve for x
    x = 644,624,557.53/34,611.44
  6. Step 6: Final answer
    x = 18,624.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.