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Finding the Fourth Proportional to 32,403.14, 44,709.62 and 20,459.84

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Solution

The fourth proportional to 32,403.14, 44,709.62 and 20,459.84 is: 28,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.14 : 44,709.62 = 20,459.84 : x
  2. Step 2: Convert to fraction form
    32,403.14/44,709.62 = 20,459.84/x
  3. Step 3: Cross multiply
    32,403.14x = 44,709.62 × 20,459.84
  4. Step 4: Simplify right side
    32,403.14x = 914,751,671.66
  5. Step 5: Solve for x
    x = 914,751,671.66/32,403.14
  6. Step 6: Final answer
    x = 28,230.34

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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.