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Finding the Fourth Proportional to 34,015, 51,025.44 and 9,391

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Solution

The fourth proportional to 34,015, 51,025.44 and 9,391 is: 14,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,015 : 51,025.44 = 9,391 : x
  2. Step 2: Convert to fraction form
    34,015/51,025.44 = 9,391/x
  3. Step 3: Cross multiply
    34,015x = 51,025.44 × 9,391
  4. Step 4: Simplify right side
    34,015x = 479,179,907.04
  5. Step 5: Solve for x
    x = 479,179,907.04/34,015
  6. Step 6: Final answer
    x = 14,087.31

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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.