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Finding the Fourth Proportional to 45,657.44, 68,466.72 and 17,936

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Solution

The fourth proportional to 45,657.44, 68,466.72 and 17,936 is: 26,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,657.44 : 68,466.72 = 17,936 : x
  2. Step 2: Convert to fraction form
    45,657.44/68,466.72 = 17,936/x
  3. Step 3: Cross multiply
    45,657.44x = 68,466.72 × 17,936
  4. Step 4: Simplify right side
    45,657.44x = 1,228,019,089.92
  5. Step 5: Solve for x
    x = 1,228,019,089.92/45,657.44
  6. Step 6: Final answer
    x = 26,896.36

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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.