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Finding the Fourth Proportional to 29,965.40, 44,861.70 and 20,115.80

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Solution

The fourth proportional to 29,965.40, 44,861.70 and 20,115.80 is: 30,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965.40 : 44,861.70 = 20,115.80 : x
  2. Step 2: Convert to fraction form
    29,965.40/44,861.70 = 20,115.80/x
  3. Step 3: Cross multiply
    29,965.40x = 44,861.70 × 20,115.80
  4. Step 4: Simplify right side
    29,965.40x = 902,428,984.86
  5. Step 5: Solve for x
    x = 902,428,984.86/29,965.40
  6. Step 6: Final answer
    x = 30,115.70

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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.