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Finding the Fourth Proportional to 82,206.14, 113,444.50 and 44,480.39

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Solution

The fourth proportional to 82,206.14, 113,444.50 and 44,480.39 is: 61,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.14 : 113,444.50 = 44,480.39 : x
  2. Step 2: Convert to fraction form
    82,206.14/113,444.50 = 44,480.39/x
  3. Step 3: Cross multiply
    82,206.14x = 113,444.50 × 44,480.39
  4. Step 4: Simplify right side
    82,206.14x = 5,046,055,646.46
  5. Step 5: Solve for x
    x = 5,046,055,646.46/82,206.14
  6. Step 6: Final answer
    x = 61,382.95

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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.