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Finding the Fourth Proportional to 82,764.94, 114,207.73 and 46,458.07

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Solution

The fourth proportional to 82,764.94, 114,207.73 and 46,458.07 is: 64,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764.94 : 114,207.73 = 46,458.07 : x
  2. Step 2: Convert to fraction form
    82,764.94/114,207.73 = 46,458.07/x
  3. Step 3: Cross multiply
    82,764.94x = 114,207.73 × 46,458.07
  4. Step 4: Simplify right side
    82,764.94x = 5,305,870,714.88
  5. Step 5: Solve for x
    x = 5,305,870,714.88/82,764.94
  6. Step 6: Final answer
    x = 64,107.71

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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.