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Finding the Fourth Proportional to 97,394.91, 146,114.24 and 30,829.92

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Solution

The fourth proportional to 97,394.91, 146,114.24 and 30,829.92 is: 46,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394.91 : 146,114.24 = 30,829.92 : x
  2. Step 2: Convert to fraction form
    97,394.91/146,114.24 = 30,829.92/x
  3. Step 3: Cross multiply
    97,394.91x = 146,114.24 × 30,829.92
  4. Step 4: Simplify right side
    97,394.91x = 4,504,690,175.91
  5. Step 5: Solve for x
    x = 4,504,690,175.91/97,394.91
  6. Step 6: Final answer
    x = 46,251.80

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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.