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Finding the Fourth Proportional to 39,770.80, 54,880.40 and 23,415.38

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Solution

The fourth proportional to 39,770.80, 54,880.40 and 23,415.38 is: 32,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770.80 : 54,880.40 = 23,415.38 : x
  2. Step 2: Convert to fraction form
    39,770.80/54,880.40 = 23,415.38/x
  3. Step 3: Cross multiply
    39,770.80x = 54,880.40 × 23,415.38
  4. Step 4: Simplify right side
    39,770.80x = 1,285,045,410.49
  5. Step 5: Solve for x
    x = 1,285,045,410.49/39,770.80
  6. Step 6: Final answer
    x = 32,311.28

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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.