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Finding the Fourth Proportional to 35,782.50, 53,692.90 and 27,477.38

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Solution

The fourth proportional to 35,782.50, 53,692.90 and 27,477.38 is: 41,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.50 : 53,692.90 = 27,477.38 : x
  2. Step 2: Convert to fraction form
    35,782.50/53,692.90 = 27,477.38/x
  3. Step 3: Cross multiply
    35,782.50x = 53,692.90 × 27,477.38
  4. Step 4: Simplify right side
    35,782.50x = 1,475,340,216.60
  5. Step 5: Solve for x
    x = 1,475,340,216.60/35,782.50
  6. Step 6: Final answer
    x = 41,230.78

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