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Finding the Fourth Proportional to 83,505.80, 115,243.32 and 45,780.08

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Solution

The fourth proportional to 83,505.80, 115,243.32 and 45,780.08 is: 63,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,505.80 : 115,243.32 = 45,780.08 : x
  2. Step 2: Convert to fraction form
    83,505.80/115,243.32 = 45,780.08/x
  3. Step 3: Cross multiply
    83,505.80x = 115,243.32 × 45,780.08
  4. Step 4: Simplify right side
    83,505.80x = 5,275,848,409.07
  5. Step 5: Solve for x
    x = 5,275,848,409.07/83,505.80
  6. Step 6: Final answer
    x = 63,179.42

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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.