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Finding the Fourth Proportional to 82,133.56, 113,344.50 and 44,407.96

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Solution

The fourth proportional to 82,133.56, 113,344.50 and 44,407.96 is: 61,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.56 : 113,344.50 = 44,407.96 : x
  2. Step 2: Convert to fraction form
    82,133.56/113,344.50 = 44,407.96/x
  3. Step 3: Cross multiply
    82,133.56x = 113,344.50 × 44,407.96
  4. Step 4: Simplify right side
    82,133.56x = 5,033,398,022.22
  5. Step 5: Solve for x
    x = 5,033,398,022.22/82,133.56
  6. Step 6: Final answer
    x = 61,283.09

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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.