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Finding the Fourth Proportional to 32,062.88, 44,202.30 and 27,633.80

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Solution

The fourth proportional to 32,062.88, 44,202.30 and 27,633.80 is: 38,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.88 : 44,202.30 = 27,633.80 : x
  2. Step 2: Convert to fraction form
    32,062.88/44,202.30 = 27,633.80/x
  3. Step 3: Cross multiply
    32,062.88x = 44,202.30 × 27,633.80
  4. Step 4: Simplify right side
    32,062.88x = 1,221,477,517.74
  5. Step 5: Solve for x
    x = 1,221,477,517.74/32,062.88
  6. Step 6: Final answer
    x = 38,096.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.