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Finding the Fourth Proportional to 29,677.68, 40,974.24 and 26,485.44

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Solution

The fourth proportional to 29,677.68, 40,974.24 and 26,485.44 is: 36,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.68 : 40,974.24 = 26,485.44 : x
  2. Step 2: Convert to fraction form
    29,677.68/40,974.24 = 26,485.44/x
  3. Step 3: Cross multiply
    29,677.68x = 40,974.24 × 26,485.44
  4. Step 4: Simplify right side
    29,677.68x = 1,085,220,775.07
  5. Step 5: Solve for x
    x = 1,085,220,775.07/29,677.68
  6. Step 6: Final answer
    x = 36,566.90

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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.