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Finding the Fourth Proportional to 82,115.56, 113,319.63 and 44,389.81

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Solution

The fourth proportional to 82,115.56, 113,319.63 and 44,389.81 is: 61,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.56 : 113,319.63 = 44,389.81 : x
  2. Step 2: Convert to fraction form
    82,115.56/113,319.63 = 44,389.81/x
  3. Step 3: Cross multiply
    82,115.56x = 113,319.63 × 44,389.81
  4. Step 4: Simplify right side
    82,115.56x = 5,030,236,844.97
  5. Step 5: Solve for x
    x = 5,030,236,844.97/82,115.56
  6. Step 6: Final answer
    x = 61,258.02

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Why These Related Problems?

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