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Finding the Fourth Proportional to 30,047, 41,450.46 and 19,439.96

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Solution

The fourth proportional to 30,047, 41,450.46 and 19,439.96 is: 26,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047 : 41,450.46 = 19,439.96 : x
  2. Step 2: Convert to fraction form
    30,047/41,450.46 = 19,439.96/x
  3. Step 3: Cross multiply
    30,047x = 41,450.46 × 19,439.96
  4. Step 4: Simplify right side
    30,047x = 805,795,284.38
  5. Step 5: Solve for x
    x = 805,795,284.38/30,047
  6. Step 6: Final answer
    x = 26,817.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.