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Finding the Fourth Proportional to 33,167.61, 49,714.68 and 13,440.33

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Solution

The fourth proportional to 33,167.61, 49,714.68 and 13,440.33 is: 20,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.61 : 49,714.68 = 13,440.33 : x
  2. Step 2: Convert to fraction form
    33,167.61/49,714.68 = 13,440.33/x
  3. Step 3: Cross multiply
    33,167.61x = 49,714.68 × 13,440.33
  4. Step 4: Simplify right side
    33,167.61x = 668,181,705.04
  5. Step 5: Solve for x
    x = 668,181,705.04/33,167.61
  6. Step 6: Final answer
    x = 20,145.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.