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Finding the Fourth Proportional to 57,620.77, 86,463.96 and 46,007.80

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Solution

The fourth proportional to 57,620.77, 86,463.96 and 46,007.80 is: 69,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,620.77 : 86,463.96 = 46,007.80 : x
  2. Step 2: Convert to fraction form
    57,620.77/86,463.96 = 46,007.80/x
  3. Step 3: Cross multiply
    57,620.77x = 86,463.96 × 46,007.80
  4. Step 4: Simplify right side
    57,620.77x = 3,978,016,190.20
  5. Step 5: Solve for x
    x = 3,978,016,190.20/57,620.77
  6. Step 6: Final answer
    x = 69,037.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.