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Finding the Fourth Proportional to 38,540.88, 53,184.96 and 21,774.24

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Solution

The fourth proportional to 38,540.88, 53,184.96 and 21,774.24 is: 30,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.88 : 53,184.96 = 21,774.24 : x
  2. Step 2: Convert to fraction form
    38,540.88/53,184.96 = 21,774.24/x
  3. Step 3: Cross multiply
    38,540.88x = 53,184.96 × 21,774.24
  4. Step 4: Simplify right side
    38,540.88x = 1,158,062,083.43
  5. Step 5: Solve for x
    x = 1,158,062,083.43/38,540.88
  6. Step 6: Final answer
    x = 30,047.63

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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.