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Finding the Fourth Proportional to 83,958.48, 115,863.48 and 46,233

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Solution

The fourth proportional to 83,958.48, 115,863.48 and 46,233 is: 63,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,958.48 : 115,863.48 = 46,233 : x
  2. Step 2: Convert to fraction form
    83,958.48/115,863.48 = 46,233/x
  3. Step 3: Cross multiply
    83,958.48x = 115,863.48 × 46,233
  4. Step 4: Simplify right side
    83,958.48x = 5,356,716,270.84
  5. Step 5: Solve for x
    x = 5,356,716,270.84/83,958.48
  6. Step 6: Final answer
    x = 63,801.97

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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.