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Finding the Fourth Proportional to 82,324.53, 113,504.63 and 67,201.83

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Solution

The fourth proportional to 82,324.53, 113,504.63 and 67,201.83 is: 92,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324.53 : 113,504.63 = 67,201.83 : x
  2. Step 2: Convert to fraction form
    82,324.53/113,504.63 = 67,201.83/x
  3. Step 3: Cross multiply
    82,324.53x = 113,504.63 × 67,201.83
  4. Step 4: Simplify right side
    82,324.53x = 7,627,718,513.46
  5. Step 5: Solve for x
    x = 7,627,718,513.46/82,324.53
  6. Step 6: Final answer
    x = 92,654.26

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1.5x scale

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.