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Finding the Fourth Proportional to 36,181.56, 54,272.34 and 11,221

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Solution

The fourth proportional to 36,181.56, 54,272.34 and 11,221 is: 16,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,181.56 : 54,272.34 = 11,221 : x
  2. Step 2: Convert to fraction form
    36,181.56/54,272.34 = 11,221/x
  3. Step 3: Cross multiply
    36,181.56x = 54,272.34 × 11,221
  4. Step 4: Simplify right side
    36,181.56x = 608,989,927.14
  5. Step 5: Solve for x
    x = 608,989,927.14/36,181.56
  6. Step 6: Final answer
    x = 16,831.50

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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.