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Finding the Fourth Proportional to 38,538.54, 53,164.08 and 30,025.44

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Solution

The fourth proportional to 38,538.54, 53,164.08 and 30,025.44 is: 41,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.54 : 53,164.08 = 30,025.44 : x
  2. Step 2: Convert to fraction form
    38,538.54/53,164.08 = 30,025.44/x
  3. Step 3: Cross multiply
    38,538.54x = 53,164.08 × 30,025.44
  4. Step 4: Simplify right side
    38,538.54x = 1,596,274,894.20
  5. Step 5: Solve for x
    x = 1,596,274,894.20/38,538.54
  6. Step 6: Final answer
    x = 41,420.22

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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.