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Finding the Fourth Proportional to 83,245.38, 114,889.89 and 46,954.27

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Solution

The fourth proportional to 83,245.38, 114,889.89 and 46,954.27 is: 64,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,245.38 : 114,889.89 = 46,954.27 : x
  2. Step 2: Convert to fraction form
    83,245.38/114,889.89 = 46,954.27/x
  3. Step 3: Cross multiply
    83,245.38x = 114,889.89 × 46,954.27
  4. Step 4: Simplify right side
    83,245.38x = 5,394,570,915.33
  5. Step 5: Solve for x
    x = 5,394,570,915.33/83,245.38
  6. Step 6: Final answer
    x = 64,803.25

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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.