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Finding the Fourth Proportional to 82,672.38, 114,096.81 and 46,858.56

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Solution

The fourth proportional to 82,672.38, 114,096.81 and 46,858.56 is: 64,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672.38 : 114,096.81 = 46,858.56 : x
  2. Step 2: Convert to fraction form
    82,672.38/114,096.81 = 46,858.56/x
  3. Step 3: Cross multiply
    82,672.38x = 114,096.81 × 46,858.56
  4. Step 4: Simplify right side
    82,672.38x = 5,346,412,217.19
  5. Step 5: Solve for x
    x = 5,346,412,217.19/82,672.38
  6. Step 6: Final answer
    x = 64,669.87

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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.