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Finding the Fourth Proportional to 97,791.77, 146,675.41 and 31,226.38

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Solution

The fourth proportional to 97,791.77, 146,675.41 and 31,226.38 is: 46,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,791.77 : 146,675.41 = 31,226.38 : x
  2. Step 2: Convert to fraction form
    97,791.77/146,675.41 = 31,226.38/x
  3. Step 3: Cross multiply
    97,791.77x = 146,675.41 × 31,226.38
  4. Step 4: Simplify right side
    97,791.77x = 4,580,141,644.56
  5. Step 5: Solve for x
    x = 4,580,141,644.56/97,791.77
  6. Step 6: Final answer
    x = 46,835.65

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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.