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Finding the Fourth Proportional to 81,720.56, 122,588.28 and 31,804.40

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Solution

The fourth proportional to 81,720.56, 122,588.28 and 31,804.40 is: 47,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720.56 : 122,588.28 = 31,804.40 : x
  2. Step 2: Convert to fraction form
    81,720.56/122,588.28 = 31,804.40/x
  3. Step 3: Cross multiply
    81,720.56x = 122,588.28 × 31,804.40
  4. Step 4: Simplify right side
    81,720.56x = 3,898,846,692.43
  5. Step 5: Solve for x
    x = 3,898,846,692.43/81,720.56
  6. Step 6: Final answer
    x = 47,709.50

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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.