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Finding the Fourth Proportional to 83,642.36, 115,480.50 and 51,845

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Solution

The fourth proportional to 83,642.36, 115,480.50 and 51,845 is: 71,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.36 : 115,480.50 = 51,845 : x
  2. Step 2: Convert to fraction form
    83,642.36/115,480.50 = 51,845/x
  3. Step 3: Cross multiply
    83,642.36x = 115,480.50 × 51,845
  4. Step 4: Simplify right side
    83,642.36x = 5,987,086,522.50
  5. Step 5: Solve for x
    x = 5,987,086,522.50/83,642.36
  6. Step 6: Final answer
    x = 71,579.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.