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Finding the Fourth Proportional to 27,592, 41,289.54 and 23,906.86

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Solution

The fourth proportional to 27,592, 41,289.54 and 23,906.86 is: 35,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,592 : 41,289.54 = 23,906.86 : x
  2. Step 2: Convert to fraction form
    27,592/41,289.54 = 23,906.86/x
  3. Step 3: Cross multiply
    27,592x = 41,289.54 × 23,906.86
  4. Step 4: Simplify right side
    27,592x = 987,103,252.24
  5. Step 5: Solve for x
    x = 987,103,252.24/27,592
  6. Step 6: Final answer
    x = 35,774.98

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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.