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Finding the Fourth Proportional to 38,692.56, 53,406.24 and 22,782.16

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Solution

The fourth proportional to 38,692.56, 53,406.24 and 22,782.16 is: 31,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.56 : 53,406.24 = 22,782.16 : x
  2. Step 2: Convert to fraction form
    38,692.56/53,406.24 = 22,782.16/x
  3. Step 3: Cross multiply
    38,692.56x = 53,406.24 × 22,782.16
  4. Step 4: Simplify right side
    38,692.56x = 1,216,709,504.68
  5. Step 5: Solve for x
    x = 1,216,709,504.68/38,692.56
  6. Step 6: Final answer
    x = 31,445.57

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