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Finding the Fourth Proportional to 38,740.84, 58,111.26 and 27,076.84

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Solution

The fourth proportional to 38,740.84, 58,111.26 and 27,076.84 is: 40,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,740.84 : 58,111.26 = 27,076.84 : x
  2. Step 2: Convert to fraction form
    38,740.84/58,111.26 = 27,076.84/x
  3. Step 3: Cross multiply
    38,740.84x = 58,111.26 × 27,076.84
  4. Step 4: Simplify right side
    38,740.84x = 1,573,469,289.22
  5. Step 5: Solve for x
    x = 1,573,469,289.22/38,740.84
  6. Step 6: Final answer
    x = 40,615.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.