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Finding the Fourth Proportional to 33,032, 45,584.16 and 19,784

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Solution

The fourth proportional to 33,032, 45,584.16 and 19,784 is: 27,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032 : 45,584.16 = 19,784 : x
  2. Step 2: Convert to fraction form
    33,032/45,584.16 = 19,784/x
  3. Step 3: Cross multiply
    33,032x = 45,584.16 × 19,784
  4. Step 4: Simplify right side
    33,032x = 901,837,021.44
  5. Step 5: Solve for x
    x = 901,837,021.44/33,032
  6. Step 6: Final answer
    x = 27,301.92

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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.