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Finding the Fourth Proportional to 82,698.26, 114,149.60 and 46,912.05

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Solution

The fourth proportional to 82,698.26, 114,149.60 and 46,912.05 is: 64,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,698.26 : 114,149.60 = 46,912.05 : x
  2. Step 2: Convert to fraction form
    82,698.26/114,149.60 = 46,912.05/x
  3. Step 3: Cross multiply
    82,698.26x = 114,149.60 × 46,912.05
  4. Step 4: Simplify right side
    82,698.26x = 5,354,991,508.12
  5. Step 5: Solve for x
    x = 5,354,991,508.12/82,698.26
  6. Step 6: Final answer
    x = 64,753.38

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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.