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Finding the Fourth Proportional to 34,194, 51,252.54 and 25,846.98

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Solution

The fourth proportional to 34,194, 51,252.54 and 25,846.98 is: 38,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,194 : 51,252.54 = 25,846.98 : x
  2. Step 2: Convert to fraction form
    34,194/51,252.54 = 25,846.98/x
  3. Step 3: Cross multiply
    34,194x = 51,252.54 × 25,846.98
  4. Step 4: Simplify right side
    34,194x = 1,324,723,376.33
  5. Step 5: Solve for x
    x = 1,324,723,376.33/34,194
  6. Step 6: Final answer
    x = 38,741.40

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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.