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Finding the Fourth Proportional to 83,306.36, 114,965.64 and 45,580.60

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Solution

The fourth proportional to 83,306.36, 114,965.64 and 45,580.60 is: 62,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,306.36 : 114,965.64 = 45,580.60 : x
  2. Step 2: Convert to fraction form
    83,306.36/114,965.64 = 45,580.60/x
  3. Step 3: Cross multiply
    83,306.36x = 114,965.64 × 45,580.60
  4. Step 4: Simplify right side
    83,306.36x = 5,240,202,850.58
  5. Step 5: Solve for x
    x = 5,240,202,850.58/83,306.36
  6. Step 6: Final answer
    x = 62,902.79

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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.