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Finding the Fourth Proportional to 33,923.92, 46,838.10 and 21,182.08

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Solution

The fourth proportional to 33,923.92, 46,838.10 and 21,182.08 is: 29,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.92 : 46,838.10 = 21,182.08 : x
  2. Step 2: Convert to fraction form
    33,923.92/46,838.10 = 21,182.08/x
  3. Step 3: Cross multiply
    33,923.92x = 46,838.10 × 21,182.08
  4. Step 4: Simplify right side
    33,923.92x = 992,128,381.25
  5. Step 5: Solve for x
    x = 992,128,381.25/33,923.92
  6. Step 6: Final answer
    x = 29,245.69

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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.