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Finding the Fourth Proportional to 83,774.97, 115,609.38 and 45,534.48

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Solution

The fourth proportional to 83,774.97, 115,609.38 and 45,534.48 is: 62,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,774.97 : 115,609.38 = 45,534.48 : x
  2. Step 2: Convert to fraction form
    83,774.97/115,609.38 = 45,534.48/x
  3. Step 3: Cross multiply
    83,774.97x = 115,609.38 × 45,534.48
  4. Step 4: Simplify right side
    83,774.97x = 5,264,212,722.28
  5. Step 5: Solve for x
    x = 5,264,212,722.28/83,774.97
  6. Step 6: Final answer
    x = 62,837.54

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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.