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Finding the Fourth Proportional to 33,653.54, 46,434.93 and 23,039.30

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Solution

The fourth proportional to 33,653.54, 46,434.93 and 23,039.30 is: 31,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.54 : 46,434.93 = 23,039.30 : x
  2. Step 2: Convert to fraction form
    33,653.54/46,434.93 = 23,039.30/x
  3. Step 3: Cross multiply
    33,653.54x = 46,434.93 × 23,039.30
  4. Step 4: Simplify right side
    33,653.54x = 1,069,828,282.75
  5. Step 5: Solve for x
    x = 1,069,828,282.75/33,653.54
  6. Step 6: Final answer
    x = 31,789.47

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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.