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Finding the Fourth Proportional to 78,183.63, 107,890.79 and 46,333.62

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Solution

The fourth proportional to 78,183.63, 107,890.79 and 46,333.62 is: 63,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.63 : 107,890.79 = 46,333.62 : x
  2. Step 2: Convert to fraction form
    78,183.63/107,890.79 = 46,333.62/x
  3. Step 3: Cross multiply
    78,183.63x = 107,890.79 × 46,333.62
  4. Step 4: Simplify right side
    78,183.63x = 4,998,970,633.69
  5. Step 5: Solve for x
    x = 4,998,970,633.69/78,183.63
  6. Step 6: Final answer
    x = 63,938.84

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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.