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Finding the Fourth Proportional to 35,825.58, 49,436.91 and 19,692.54

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Solution

The fourth proportional to 35,825.58, 49,436.91 and 19,692.54 is: 27,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825.58 : 49,436.91 = 19,692.54 : x
  2. Step 2: Convert to fraction form
    35,825.58/49,436.91 = 19,692.54/x
  3. Step 3: Cross multiply
    35,825.58x = 49,436.91 × 19,692.54
  4. Step 4: Simplify right side
    35,825.58x = 973,538,327.65
  5. Step 5: Solve for x
    x = 973,538,327.65/35,825.58
  6. Step 6: Final answer
    x = 27,174.39

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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.