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Finding the Fourth Proportional to 82,583.28, 113,964.84 and 44,857.56

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Solution

The fourth proportional to 82,583.28, 113,964.84 and 44,857.56 is: 61,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,583.28 : 113,964.84 = 44,857.56 : x
  2. Step 2: Convert to fraction form
    82,583.28/113,964.84 = 44,857.56/x
  3. Step 3: Cross multiply
    82,583.28x = 113,964.84 × 44,857.56
  4. Step 4: Simplify right side
    82,583.28x = 5,112,184,648.19
  5. Step 5: Solve for x
    x = 5,112,184,648.19/82,583.28
  6. Step 6: Final answer
    x = 61,903.39

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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.