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Finding the Fourth Proportional to 29,692.69, 44,540.56 and 7,506.25

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Solution

The fourth proportional to 29,692.69, 44,540.56 and 7,506.25 is: 11,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.69 : 44,540.56 = 7,506.25 : x
  2. Step 2: Convert to fraction form
    29,692.69/44,540.56 = 7,506.25/x
  3. Step 3: Cross multiply
    29,692.69x = 44,540.56 × 7,506.25
  4. Step 4: Simplify right side
    29,692.69x = 334,332,578.50
  5. Step 5: Solve for x
    x = 334,332,578.50/29,692.69
  6. Step 6: Final answer
    x = 11,259.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.