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Finding the Fourth Proportional to 82,096.68, 113,290.80 and 46,286.16

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Solution

The fourth proportional to 82,096.68, 113,290.80 and 46,286.16 is: 63,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,096.68 : 113,290.80 = 46,286.16 : x
  2. Step 2: Convert to fraction form
    82,096.68/113,290.80 = 46,286.16/x
  3. Step 3: Cross multiply
    82,096.68x = 113,290.80 × 46,286.16
  4. Step 4: Simplify right side
    82,096.68x = 5,243,796,095.33
  5. Step 5: Solve for x
    x = 5,243,796,095.33/82,096.68
  6. Step 6: Final answer
    x = 63,873.42

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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.