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Finding the Fourth Proportional to 82,205.01, 113,431.53 and 45,902.02

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Solution

The fourth proportional to 82,205.01, 113,431.53 and 45,902.02 is: 63,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.01 : 113,431.53 = 45,902.02 : x
  2. Step 2: Convert to fraction form
    82,205.01/113,431.53 = 45,902.02/x
  3. Step 3: Cross multiply
    82,205.01x = 113,431.53 × 45,902.02
  4. Step 4: Simplify right side
    82,205.01x = 5,206,736,358.69
  5. Step 5: Solve for x
    x = 5,206,736,358.69/82,205.01
  6. Step 6: Final answer
    x = 63,338.43

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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.