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Finding the Fourth Proportional to 82,596.65, 113,979.71 and 46,785.94

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Solution

The fourth proportional to 82,596.65, 113,979.71 and 46,785.94 is: 64,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.65 : 113,979.71 = 46,785.94 : x
  2. Step 2: Convert to fraction form
    82,596.65/113,979.71 = 46,785.94/x
  3. Step 3: Cross multiply
    82,596.65x = 113,979.71 × 46,785.94
  4. Step 4: Simplify right side
    82,596.65x = 5,332,647,873.28
  5. Step 5: Solve for x
    x = 5,332,647,873.28/82,596.65
  6. Step 6: Final answer
    x = 64,562.52

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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.