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Finding the Fourth Proportional to 82,206.23, 113,444.55 and 44,480.48

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Solution

The fourth proportional to 82,206.23, 113,444.55 and 44,480.48 is: 61,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.23 : 113,444.55 = 44,480.48 : x
  2. Step 2: Convert to fraction form
    82,206.23/113,444.55 = 44,480.48/x
  3. Step 3: Cross multiply
    82,206.23x = 113,444.55 × 44,480.48
  4. Step 4: Simplify right side
    82,206.23x = 5,046,067,470.16
  5. Step 5: Solve for x
    x = 5,046,067,470.16/82,206.23
  6. Step 6: Final answer
    x = 61,383.03

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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.