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Finding the Fourth Proportional to 38,969.78, 53,781.81 and 22,208.18

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Solution

The fourth proportional to 38,969.78, 53,781.81 and 22,208.18 is: 30,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,969.78 : 53,781.81 = 22,208.18 : x
  2. Step 2: Convert to fraction form
    38,969.78/53,781.81 = 22,208.18/x
  3. Step 3: Cross multiply
    38,969.78x = 53,781.81 × 22,208.18
  4. Step 4: Simplify right side
    38,969.78x = 1,194,396,117.21
  5. Step 5: Solve for x
    x = 1,194,396,117.21/38,969.78
  6. Step 6: Final answer
    x = 30,649.29

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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.