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Finding the Fourth Proportional to 84,518, 116,634.84 and 46,794.68

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Solution

The fourth proportional to 84,518, 116,634.84 and 46,794.68 is: 64,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,518 : 116,634.84 = 46,794.68 : x
  2. Step 2: Convert to fraction form
    84,518/116,634.84 = 46,794.68/x
  3. Step 3: Cross multiply
    84,518x = 116,634.84 × 46,794.68
  4. Step 4: Simplify right side
    84,518x = 5,457,890,014.65
  5. Step 5: Solve for x
    x = 5,457,890,014.65/84,518
  6. Step 6: Final answer
    x = 64,576.66

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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.