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Finding the Fourth Proportional to 35,142.94, 48,499.89 and 20,035.96

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Solution

The fourth proportional to 35,142.94, 48,499.89 and 20,035.96 is: 27,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.94 : 48,499.89 = 20,035.96 : x
  2. Step 2: Convert to fraction form
    35,142.94/48,499.89 = 20,035.96/x
  3. Step 3: Cross multiply
    35,142.94x = 48,499.89 × 20,035.96
  4. Step 4: Simplify right side
    35,142.94x = 971,741,856.04
  5. Step 5: Solve for x
    x = 971,741,856.04/35,142.94
  6. Step 6: Final answer
    x = 27,651.13

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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.