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Finding the Fourth Proportional to 64,907, 89,571.67 and 35,099

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Solution

The fourth proportional to 64,907, 89,571.67 and 35,099 is: 48,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,907 : 89,571.67 = 35,099 : x
  2. Step 2: Convert to fraction form
    64,907/89,571.67 = 35,099/x
  3. Step 3: Cross multiply
    64,907x = 89,571.67 × 35,099
  4. Step 4: Simplify right side
    64,907x = 3,143,876,045.33
  5. Step 5: Solve for x
    x = 3,143,876,045.33/64,907
  6. Step 6: Final answer
    x = 48,436.63

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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.