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Finding the Fourth Proportional to 33,022.68, 49,536.98 and 9,330.51

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Solution

The fourth proportional to 33,022.68, 49,536.98 and 9,330.51 is: 13,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.68 : 49,536.98 = 9,330.51 : x
  2. Step 2: Convert to fraction form
    33,022.68/49,536.98 = 9,330.51/x
  3. Step 3: Cross multiply
    33,022.68x = 49,536.98 × 9,330.51
  4. Step 4: Simplify right side
    33,022.68x = 462,205,287.26
  5. Step 5: Solve for x
    x = 462,205,287.26/33,022.68
  6. Step 6: Final answer
    x = 13,996.60

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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.