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Finding the Fourth Proportional to 84,198.65, 116,185.86 and 46,470.47

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Solution

The fourth proportional to 84,198.65, 116,185.86 and 46,470.47 is: 64,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198.65 : 116,185.86 = 46,470.47 : x
  2. Step 2: Convert to fraction form
    84,198.65/116,185.86 = 46,470.47/x
  3. Step 3: Cross multiply
    84,198.65x = 116,185.86 × 46,470.47
  4. Step 4: Simplify right side
    84,198.65x = 5,399,210,940.62
  5. Step 5: Solve for x
    x = 5,399,210,940.62/84,198.65
  6. Step 6: Final answer
    x = 64,124.68

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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.