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Finding the Fourth Proportional to 33,213.60, 49,809.60 and 11,023.20

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Solution

The fourth proportional to 33,213.60, 49,809.60 and 11,023.20 is: 16,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.60 : 49,809.60 = 11,023.20 : x
  2. Step 2: Convert to fraction form
    33,213.60/49,809.60 = 11,023.20/x
  3. Step 3: Cross multiply
    33,213.60x = 49,809.60 × 11,023.20
  4. Step 4: Simplify right side
    33,213.60x = 549,061,182.72
  5. Step 5: Solve for x
    x = 549,061,182.72/33,213.60
  6. Step 6: Final answer
    x = 16,531.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.