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Finding the Fourth Proportional to 82,206.12, 113,444.64 and 44,480.37

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Solution

The fourth proportional to 82,206.12, 113,444.64 and 44,480.37 is: 61,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.12 : 113,444.64 = 44,480.37 : x
  2. Step 2: Convert to fraction form
    82,206.12/113,444.64 = 44,480.37/x
  3. Step 3: Cross multiply
    82,206.12x = 113,444.64 × 44,480.37
  4. Step 4: Simplify right side
    82,206.12x = 5,046,059,561.72
  5. Step 5: Solve for x
    x = 5,046,059,561.72/82,206.12
  6. Step 6: Final answer
    x = 61,383.02

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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.