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Finding the Fourth Proportional to 38,402.84, 53,010.78 and 30,022.04

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Solution

The fourth proportional to 38,402.84, 53,010.78 and 30,022.04 is: 41,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.84 : 53,010.78 = 30,022.04 : x
  2. Step 2: Convert to fraction form
    38,402.84/53,010.78 = 30,022.04/x
  3. Step 3: Cross multiply
    38,402.84x = 53,010.78 × 30,022.04
  4. Step 4: Simplify right side
    38,402.84x = 1,591,491,757.59
  5. Step 5: Solve for x
    x = 1,591,491,757.59/38,402.84
  6. Step 6: Final answer
    x = 41,442.03

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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.