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Finding the Fourth Proportional to 82,166.26, 113,389.42 and 44,440.50

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Solution

The fourth proportional to 82,166.26, 113,389.42 and 44,440.50 is: 61,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166.26 : 113,389.42 = 44,440.50 : x
  2. Step 2: Convert to fraction form
    82,166.26/113,389.42 = 44,440.50/x
  3. Step 3: Cross multiply
    82,166.26x = 113,389.42 × 44,440.50
  4. Step 4: Simplify right side
    82,166.26x = 5,039,082,519.51
  5. Step 5: Solve for x
    x = 5,039,082,519.51/82,166.26
  6. Step 6: Final answer
    x = 61,327.88

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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.