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Finding the Fourth Proportional to 81,883.75, 122,628.79 and 46,716.79

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Solution

The fourth proportional to 81,883.75, 122,628.79 and 46,716.79 is: 69,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,883.75 : 122,628.79 = 46,716.79 : x
  2. Step 2: Convert to fraction form
    81,883.75/122,628.79 = 46,716.79/x
  3. Step 3: Cross multiply
    81,883.75x = 122,628.79 × 46,716.79
  4. Step 4: Simplify right side
    81,883.75x = 5,728,822,700.45
  5. Step 5: Solve for x
    x = 5,728,822,700.45/81,883.75
  6. Step 6: Final answer
    x = 69,962.88

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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.