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Finding the Fourth Proportional to 51,593.54, 77,390.32 and 41,270.90

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Solution

The fourth proportional to 51,593.54, 77,390.32 and 41,270.90 is: 61,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,593.54 : 77,390.32 = 41,270.90 : x
  2. Step 2: Convert to fraction form
    51,593.54/77,390.32 = 41,270.90/x
  3. Step 3: Cross multiply
    51,593.54x = 77,390.32 × 41,270.90
  4. Step 4: Simplify right side
    51,593.54x = 3,193,968,157.69
  5. Step 5: Solve for x
    x = 3,193,968,157.69/51,593.54
  6. Step 6: Final answer
    x = 61,906.36

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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.