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Finding the Fourth Proportional to 82,812.82, 114,273.11 and 46,518.34

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Solution

The fourth proportional to 82,812.82, 114,273.11 and 46,518.34 is: 64,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.82 : 114,273.11 = 46,518.34 : x
  2. Step 2: Convert to fraction form
    82,812.82/114,273.11 = 46,518.34/x
  3. Step 3: Cross multiply
    82,812.82x = 114,273.11 × 46,518.34
  4. Step 4: Simplify right side
    82,812.82x = 5,315,795,383.84
  5. Step 5: Solve for x
    x = 5,315,795,383.84/82,812.82
  6. Step 6: Final answer
    x = 64,190.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.