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Finding the Fourth Proportional to 81,791.19, 112,866.21 and 45,986.76

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Solution

The fourth proportional to 81,791.19, 112,866.21 and 45,986.76 is: 63,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,791.19 : 112,866.21 = 45,986.76 : x
  2. Step 2: Convert to fraction form
    81,791.19/112,866.21 = 45,986.76/x
  3. Step 3: Cross multiply
    81,791.19x = 112,866.21 × 45,986.76
  4. Step 4: Simplify right side
    81,791.19x = 5,190,351,311.38
  5. Step 5: Solve for x
    x = 5,190,351,311.38/81,791.19
  6. Step 6: Final answer
    x = 63,458.56

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Why These Related Problems?

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