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Finding the Fourth Proportional to 33,735.82, 46,569.29 and 23,016.08

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Solution

The fourth proportional to 33,735.82, 46,569.29 and 23,016.08 is: 31,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735.82 : 46,569.29 = 23,016.08 : x
  2. Step 2: Convert to fraction form
    33,735.82/46,569.29 = 23,016.08/x
  3. Step 3: Cross multiply
    33,735.82x = 46,569.29 × 23,016.08
  4. Step 4: Simplify right side
    33,735.82x = 1,071,842,373.04
  5. Step 5: Solve for x
    x = 1,071,842,373.04/33,735.82
  6. Step 6: Final answer
    x = 31,771.64

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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.