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Finding the Fourth Proportional to 97,456.79, 146,067.46 and 47,461.97

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Solution

The fourth proportional to 97,456.79, 146,067.46 and 47,461.97 is: 71,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,456.79 : 146,067.46 = 47,461.97 : x
  2. Step 2: Convert to fraction form
    97,456.79/146,067.46 = 47,461.97/x
  3. Step 3: Cross multiply
    97,456.79x = 146,067.46 × 47,461.97
  4. Step 4: Simplify right side
    97,456.79x = 6,932,649,404.50
  5. Step 5: Solve for x
    x = 6,932,649,404.50/97,456.79
  6. Step 6: Final answer
    x = 71,135.62

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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.