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Finding the Fourth Proportional to 43,852.80, 65,827.80 and 27,231.60

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Solution

The fourth proportional to 43,852.80, 65,827.80 and 27,231.60 is: 40,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,852.80 : 65,827.80 = 27,231.60 : x
  2. Step 2: Convert to fraction form
    43,852.80/65,827.80 = 27,231.60/x
  3. Step 3: Cross multiply
    43,852.80x = 65,827.80 × 27,231.60
  4. Step 4: Simplify right side
    43,852.80x = 1,792,596,318.48
  5. Step 5: Solve for x
    x = 1,792,596,318.48/43,852.80
  6. Step 6: Final answer
    x = 40,877.58

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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.