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Finding the Fourth Proportional to 97,957.24, 146,893.74 and 31,375.24

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Solution

The fourth proportional to 97,957.24, 146,893.74 and 31,375.24 is: 47,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,957.24 : 146,893.74 = 31,375.24 : x
  2. Step 2: Convert to fraction form
    97,957.24/146,893.74 = 31,375.24/x
  3. Step 3: Cross multiply
    97,957.24x = 146,893.74 × 31,375.24
  4. Step 4: Simplify right side
    97,957.24x = 4,608,826,347.00
  5. Step 5: Solve for x
    x = 4,608,826,347.00/97,957.24
  6. Step 6: Final answer
    x = 47,049.37

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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.