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Finding the Fourth Proportional to 29,745.54, 41,056.02 and 20,201.35

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Solution

The fourth proportional to 29,745.54, 41,056.02 and 20,201.35 is: 27,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745.54 : 41,056.02 = 20,201.35 : x
  2. Step 2: Convert to fraction form
    29,745.54/41,056.02 = 20,201.35/x
  3. Step 3: Cross multiply
    29,745.54x = 41,056.02 × 20,201.35
  4. Step 4: Simplify right side
    29,745.54x = 829,387,029.63
  5. Step 5: Solve for x
    x = 829,387,029.63/29,745.54
  6. Step 6: Final answer
    x = 27,882.74

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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.