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Finding the Fourth Proportional to 33,266.42, 49,873.12 and 19,210.50

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Solution

The fourth proportional to 33,266.42, 49,873.12 and 19,210.50 is: 28,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.42 : 49,873.12 = 19,210.50 : x
  2. Step 2: Convert to fraction form
    33,266.42/49,873.12 = 19,210.50/x
  3. Step 3: Cross multiply
    33,266.42x = 49,873.12 × 19,210.50
  4. Step 4: Simplify right side
    33,266.42x = 958,087,571.76
  5. Step 5: Solve for x
    x = 958,087,571.76/33,266.42
  6. Step 6: Final answer
    x = 28,800.44

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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.