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Finding the Fourth Proportional to 57,679.84, 79,604.32 and 33,826.56

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Solution

The fourth proportional to 57,679.84, 79,604.32 and 33,826.56 is: 46,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,679.84 : 79,604.32 = 33,826.56 : x
  2. Step 2: Convert to fraction form
    57,679.84/79,604.32 = 33,826.56/x
  3. Step 3: Cross multiply
    57,679.84x = 79,604.32 × 33,826.56
  4. Step 4: Simplify right side
    57,679.84x = 2,692,740,306.74
  5. Step 5: Solve for x
    x = 2,692,740,306.74/57,679.84
  6. Step 6: Final answer
    x = 46,684.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.