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Finding the Fourth Proportional to 33,864, 46,733.76 and 19,714.56

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Solution

The fourth proportional to 33,864, 46,733.76 and 19,714.56 is: 27,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 46,733.76 = 19,714.56 : x
  2. Step 2: Convert to fraction form
    33,864/46,733.76 = 19,714.56/x
  3. Step 3: Cross multiply
    33,864x = 46,733.76 × 19,714.56
  4. Step 4: Simplify right side
    33,864x = 921,335,515.55
  5. Step 5: Solve for x
    x = 921,335,515.55/33,864
  6. Step 6: Final answer
    x = 27,206.93

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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.