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Finding the Fourth Proportional to 35,142.54, 48,493.26 and 20,034

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Solution

The fourth proportional to 35,142.54, 48,493.26 and 20,034 is: 27,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.54 : 48,493.26 = 20,034 : x
  2. Step 2: Convert to fraction form
    35,142.54/48,493.26 = 20,034/x
  3. Step 3: Cross multiply
    35,142.54x = 48,493.26 × 20,034
  4. Step 4: Simplify right side
    35,142.54x = 971,513,970.84
  5. Step 5: Solve for x
    x = 971,513,970.84/35,142.54
  6. Step 6: Final answer
    x = 27,644.96

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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.