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Finding the Fourth Proportional to 83,716.32, 115,528.50 and 45,990.54

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Solution

The fourth proportional to 83,716.32, 115,528.50 and 45,990.54 is: 63,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716.32 : 115,528.50 = 45,990.54 : x
  2. Step 2: Convert to fraction form
    83,716.32/115,528.50 = 45,990.54/x
  3. Step 3: Cross multiply
    83,716.32x = 115,528.50 × 45,990.54
  4. Step 4: Simplify right side
    83,716.32x = 5,313,218,100.39
  5. Step 5: Solve for x
    x = 5,313,218,100.39/83,716.32
  6. Step 6: Final answer
    x = 63,466.93

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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.