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Finding the Fourth Proportional to 97,794.54, 146,690.64 and 31,233.78

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Solution

The fourth proportional to 97,794.54, 146,690.64 and 31,233.78 is: 46,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794.54 : 146,690.64 = 31,233.78 : x
  2. Step 2: Convert to fraction form
    97,794.54/146,690.64 = 31,233.78/x
  3. Step 3: Cross multiply
    97,794.54x = 146,690.64 × 31,233.78
  4. Step 4: Simplify right side
    97,794.54x = 4,581,703,177.82
  5. Step 5: Solve for x
    x = 4,581,703,177.82/97,794.54
  6. Step 6: Final answer
    x = 46,850.30

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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.