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Finding the Fourth Proportional to 33,265.68, 45,905.48 and 19,830

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Solution

The fourth proportional to 33,265.68, 45,905.48 and 19,830 is: 27,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265.68 : 45,905.48 = 19,830 : x
  2. Step 2: Convert to fraction form
    33,265.68/45,905.48 = 19,830/x
  3. Step 3: Cross multiply
    33,265.68x = 45,905.48 × 19,830
  4. Step 4: Simplify right side
    33,265.68x = 910,305,668.40
  5. Step 5: Solve for x
    x = 910,305,668.40/33,265.68
  6. Step 6: Final answer
    x = 27,364.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.