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Finding the Fourth Proportional to 83,105.12, 114,684.48 and 45,379.52

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Solution

The fourth proportional to 83,105.12, 114,684.48 and 45,379.52 is: 62,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,105.12 : 114,684.48 = 45,379.52 : x
  2. Step 2: Convert to fraction form
    83,105.12/114,684.48 = 45,379.52/x
  3. Step 3: Cross multiply
    83,105.12x = 114,684.48 × 45,379.52
  4. Step 4: Simplify right side
    83,105.12x = 5,204,326,653.85
  5. Step 5: Solve for x
    x = 5,204,326,653.85/83,105.12
  6. Step 6: Final answer
    x = 62,623.42

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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.