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Finding the Fourth Proportional to 38,817.28, 53,566.68 and 21,821.68

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Solution

The fourth proportional to 38,817.28, 53,566.68 and 21,821.68 is: 30,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817.28 : 53,566.68 = 21,821.68 : x
  2. Step 2: Convert to fraction form
    38,817.28/53,566.68 = 21,821.68/x
  3. Step 3: Cross multiply
    38,817.28x = 53,566.68 × 21,821.68
  4. Step 4: Simplify right side
    38,817.28x = 1,168,914,949.62
  5. Step 5: Solve for x
    x = 1,168,914,949.62/38,817.28
  6. Step 6: Final answer
    x = 30,113.26

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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.