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Finding the Fourth Proportional to 40,205.69, 55,486.37 and 23,213.05

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Solution

The fourth proportional to 40,205.69, 55,486.37 and 23,213.05 is: 32,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,205.69 : 55,486.37 = 23,213.05 : x
  2. Step 2: Convert to fraction form
    40,205.69/55,486.37 = 23,213.05/x
  3. Step 3: Cross multiply
    40,205.69x = 55,486.37 × 23,213.05
  4. Step 4: Simplify right side
    40,205.69x = 1,288,007,881.13
  5. Step 5: Solve for x
    x = 1,288,007,881.13/40,205.69
  6. Step 6: Final answer
    x = 32,035.46

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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.