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Finding the Fourth Proportional to 45,099, 62,239.50 and 25,227

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Solution

The fourth proportional to 45,099, 62,239.50 and 25,227 is: 34,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,099 : 62,239.50 = 25,227 : x
  2. Step 2: Convert to fraction form
    45,099/62,239.50 = 25,227/x
  3. Step 3: Cross multiply
    45,099x = 62,239.50 × 25,227
  4. Step 4: Simplify right side
    45,099x = 1,570,115,866.50
  5. Step 5: Solve for x
    x = 1,570,115,866.50/45,099
  6. Step 6: Final answer
    x = 34,814.87

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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.