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Finding the Fourth Proportional to 76,716.50, 115,076.19 and 21,313.94

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Solution

The fourth proportional to 76,716.50, 115,076.19 and 21,313.94 is: 31,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716.50 : 115,076.19 = 21,313.94 : x
  2. Step 2: Convert to fraction form
    76,716.50/115,076.19 = 21,313.94/x
  3. Step 3: Cross multiply
    76,716.50x = 115,076.19 × 21,313.94
  4. Step 4: Simplify right side
    76,716.50x = 2,452,727,009.09
  5. Step 5: Solve for x
    x = 2,452,727,009.09/76,716.50
  6. Step 6: Final answer
    x = 31,971.31

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