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Finding the Fourth Proportional to 45,323.82, 68,028.96 and 27,827.82

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Solution

The fourth proportional to 45,323.82, 68,028.96 and 27,827.82 is: 41,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,323.82 : 68,028.96 = 27,827.82 : x
  2. Step 2: Convert to fraction form
    45,323.82/68,028.96 = 27,827.82/x
  3. Step 3: Cross multiply
    45,323.82x = 68,028.96 × 27,827.82
  4. Step 4: Simplify right side
    45,323.82x = 1,893,097,653.67
  5. Step 5: Solve for x
    x = 1,893,097,653.67/45,323.82
  6. Step 6: Final answer
    x = 41,768.27

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Why These Related Problems?

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