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Finding the Fourth Proportional to 33,208.26, 49,812.30 and 11,023.31

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Solution

The fourth proportional to 33,208.26, 49,812.30 and 11,023.31 is: 16,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.26 : 49,812.30 = 11,023.31 : x
  2. Step 2: Convert to fraction form
    33,208.26/49,812.30 = 11,023.31/x
  3. Step 3: Cross multiply
    33,208.26x = 49,812.30 × 11,023.31
  4. Step 4: Simplify right side
    33,208.26x = 549,096,424.71
  5. Step 5: Solve for x
    x = 549,096,424.71/33,208.26
  6. Step 6: Final answer
    x = 16,534.94

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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.