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Finding the Fourth Proportional to 29,777.85, 41,094.08 and 17,032.21

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Solution

The fourth proportional to 29,777.85, 41,094.08 and 17,032.21 is: 23,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.85 : 41,094.08 = 17,032.21 : x
  2. Step 2: Convert to fraction form
    29,777.85/41,094.08 = 17,032.21/x
  3. Step 3: Cross multiply
    29,777.85x = 41,094.08 × 17,032.21
  4. Step 4: Simplify right side
    29,777.85x = 699,923,000.32
  5. Step 5: Solve for x
    x = 699,923,000.32/29,777.85
  6. Step 6: Final answer
    x = 23,504.82

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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.