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Finding the Fourth Proportional to 83,959.26, 115,865.82 and 46,233.54

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Solution

The fourth proportional to 83,959.26, 115,865.82 and 46,233.54 is: 63,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.26 : 115,865.82 = 46,233.54 : x
  2. Step 2: Convert to fraction form
    83,959.26/115,865.82 = 46,233.54/x
  3. Step 3: Cross multiply
    83,959.26x = 115,865.82 × 46,233.54
  4. Step 4: Simplify right side
    83,959.26x = 5,356,887,023.60
  5. Step 5: Solve for x
    x = 5,356,887,023.60/83,959.26
  6. Step 6: Final answer
    x = 63,803.41

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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.