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Finding the Fourth Proportional to 33,224.44, 49,818.12 and 11,025.76

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Solution

The fourth proportional to 33,224.44, 49,818.12 and 11,025.76 is: 16,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.44 : 49,818.12 = 11,025.76 : x
  2. Step 2: Convert to fraction form
    33,224.44/49,818.12 = 11,025.76/x
  3. Step 3: Cross multiply
    33,224.44x = 49,818.12 × 11,025.76
  4. Step 4: Simplify right side
    33,224.44x = 549,282,634.77
  5. Step 5: Solve for x
    x = 549,282,634.77/33,224.44
  6. Step 6: Final answer
    x = 16,532.49

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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.