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Finding the Fourth Proportional to 83,912.48, 115,800 and 46,187

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Solution

The fourth proportional to 83,912.48, 115,800 and 46,187 is: 63,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,912.48 : 115,800 = 46,187 : x
  2. Step 2: Convert to fraction form
    83,912.48/115,800 = 46,187/x
  3. Step 3: Cross multiply
    83,912.48x = 115,800 × 46,187
  4. Step 4: Simplify right side
    83,912.48x = 5,348,454,600
  5. Step 5: Solve for x
    x = 5,348,454,600/83,912.48
  6. Step 6: Final answer
    x = 63,738.49

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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.