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Finding the Fourth Proportional to 82,422, 113,742.36 and 44,696.34

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Solution

The fourth proportional to 82,422, 113,742.36 and 44,696.34 is: 61,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422 : 113,742.36 = 44,696.34 : x
  2. Step 2: Convert to fraction form
    82,422/113,742.36 = 44,696.34/x
  3. Step 3: Cross multiply
    82,422x = 113,742.36 × 44,696.34
  4. Step 4: Simplify right side
    82,422x = 5,083,867,194.96
  5. Step 5: Solve for x
    x = 5,083,867,194.96/82,422
  6. Step 6: Final answer
    x = 61,680.95

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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.