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Finding the Fourth Proportional to 51,829.41, 71,523.72 and 29,168.40

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Solution

The fourth proportional to 51,829.41, 71,523.72 and 29,168.40 is: 40,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829.41 : 71,523.72 = 29,168.40 : x
  2. Step 2: Convert to fraction form
    51,829.41/71,523.72 = 29,168.40/x
  3. Step 3: Cross multiply
    51,829.41x = 71,523.72 × 29,168.40
  4. Step 4: Simplify right side
    51,829.41x = 2,086,232,474.45
  5. Step 5: Solve for x
    x = 2,086,232,474.45/51,829.41
  6. Step 6: Final answer
    x = 40,251.90

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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.