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Finding the Fourth Proportional to 83,057.25, 114,622.75 and 46,771.22

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Solution

The fourth proportional to 83,057.25, 114,622.75 and 46,771.22 is: 64,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.25 : 114,622.75 = 46,771.22 : x
  2. Step 2: Convert to fraction form
    83,057.25/114,622.75 = 46,771.22/x
  3. Step 3: Cross multiply
    83,057.25x = 114,622.75 × 46,771.22
  4. Step 4: Simplify right side
    83,057.25x = 5,361,045,939.19
  5. Step 5: Solve for x
    x = 5,361,045,939.19/83,057.25
  6. Step 6: Final answer
    x = 64,546.39

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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.