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Finding the Fourth Proportional to 32,200.96, 44,398.70 and 20,866.32

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Solution

The fourth proportional to 32,200.96, 44,398.70 and 20,866.32 is: 28,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.96 : 44,398.70 = 20,866.32 : x
  2. Step 2: Convert to fraction form
    32,200.96/44,398.70 = 20,866.32/x
  3. Step 3: Cross multiply
    32,200.96x = 44,398.70 × 20,866.32
  4. Step 4: Simplify right side
    32,200.96x = 926,437,481.78
  5. Step 5: Solve for x
    x = 926,437,481.78/32,200.96
  6. Step 6: Final answer
    x = 28,770.49

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