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Finding the Fourth Proportional to 34,198, 51,299.88 and 9,574

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Solution

The fourth proportional to 34,198, 51,299.88 and 9,574 is: 14,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198 : 51,299.88 = 9,574 : x
  2. Step 2: Convert to fraction form
    34,198/51,299.88 = 9,574/x
  3. Step 3: Cross multiply
    34,198x = 51,299.88 × 9,574
  4. Step 4: Simplify right side
    34,198x = 491,145,051.12
  5. Step 5: Solve for x
    x = 491,145,051.12/34,198
  6. Step 6: Final answer
    x = 14,361.81

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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.