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Finding the Fourth Proportional to 76,769.01, 115,066.16 and 46,716.97

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Solution

The fourth proportional to 76,769.01, 115,066.16 and 46,716.97 is: 70,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,769.01 : 115,066.16 = 46,716.97 : x
  2. Step 2: Convert to fraction form
    76,769.01/115,066.16 = 46,716.97/x
  3. Step 3: Cross multiply
    76,769.01x = 115,066.16 × 46,716.97
  4. Step 4: Simplify right side
    76,769.01x = 5,375,542,344.74
  5. Step 5: Solve for x
    x = 5,375,542,344.74/76,769.01
  6. Step 6: Final answer
    x = 70,022.30

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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.