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Finding the Fourth Proportional to 27,456, 41,181.93 and 8,735.28

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Solution

The fourth proportional to 27,456, 41,181.93 and 8,735.28 is: 13,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456 : 41,181.93 = 8,735.28 : x
  2. Step 2: Convert to fraction form
    27,456/41,181.93 = 8,735.28/x
  3. Step 3: Cross multiply
    27,456x = 41,181.93 × 8,735.28
  4. Step 4: Simplify right side
    27,456x = 359,735,689.49
  5. Step 5: Solve for x
    x = 359,735,689.49/27,456
  6. Step 6: Final answer
    x = 13,102.26

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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.