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Finding the Fourth Proportional to 35,274.24, 48,672.96 and 22,716

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Solution

The fourth proportional to 35,274.24, 48,672.96 and 22,716 is: 31,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,274.24 : 48,672.96 = 22,716 : x
  2. Step 2: Convert to fraction form
    35,274.24/48,672.96 = 22,716/x
  3. Step 3: Cross multiply
    35,274.24x = 48,672.96 × 22,716
  4. Step 4: Simplify right side
    35,274.24x = 1,105,654,959.36
  5. Step 5: Solve for x
    x = 1,105,654,959.36/35,274.24
  6. Step 6: Final answer
    x = 31,344.54

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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.