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Finding the Fourth Proportional to 97,662.73, 146,481.09 and 27,547.69

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Solution

The fourth proportional to 97,662.73, 146,481.09 and 27,547.69 is: 41,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662.73 : 146,481.09 = 27,547.69 : x
  2. Step 2: Convert to fraction form
    97,662.73/146,481.09 = 27,547.69/x
  3. Step 3: Cross multiply
    97,662.73x = 146,481.09 × 27,547.69
  4. Step 4: Simplify right side
    97,662.73x = 4,035,215,658.18
  5. Step 5: Solve for x
    x = 4,035,215,658.18/97,662.73
  6. Step 6: Final answer
    x = 41,317.87

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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.