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Finding the Fourth Proportional to 33,219.94, 49,819.04 and 11,027.34

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Solution

The fourth proportional to 33,219.94, 49,819.04 and 11,027.34 is: 16,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.94 : 49,819.04 = 11,027.34 : x
  2. Step 2: Convert to fraction form
    33,219.94/49,819.04 = 11,027.34/x
  3. Step 3: Cross multiply
    33,219.94x = 49,819.04 × 11,027.34
  4. Step 4: Simplify right side
    33,219.94x = 549,371,492.55
  5. Step 5: Solve for x
    x = 549,371,492.55/33,219.94
  6. Step 6: Final answer
    x = 16,537.40

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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.