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Finding the Fourth Proportional to 45,323.80, 68,028.94 and 27,827.80

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Solution

The fourth proportional to 45,323.80, 68,028.94 and 27,827.80 is: 41,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,323.80 : 68,028.94 = 27,827.80 : x
  2. Step 2: Convert to fraction form
    45,323.80/68,028.94 = 27,827.80/x
  3. Step 3: Cross multiply
    45,323.80x = 68,028.94 × 27,827.80
  4. Step 4: Simplify right side
    45,323.80x = 1,893,095,736.53
  5. Step 5: Solve for x
    x = 1,893,095,736.53/45,323.80
  6. Step 6: Final answer
    x = 41,768.25

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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.