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Finding the Fourth Proportional to 35,850.88, 49,471.04 and 20,944

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Solution

The fourth proportional to 35,850.88, 49,471.04 and 20,944 is: 28,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,850.88 : 49,471.04 = 20,944 : x
  2. Step 2: Convert to fraction form
    35,850.88/49,471.04 = 20,944/x
  3. Step 3: Cross multiply
    35,850.88x = 49,471.04 × 20,944
  4. Step 4: Simplify right side
    35,850.88x = 1,036,121,461.76
  5. Step 5: Solve for x
    x = 1,036,121,461.76/35,850.88
  6. Step 6: Final answer
    x = 28,900.87

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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.