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Finding the Fourth Proportional to 71,946.72, 107,894.16 and 30,396.96

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Solution

The fourth proportional to 71,946.72, 107,894.16 and 30,396.96 is: 45,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.72 : 107,894.16 = 30,396.96 : x
  2. Step 2: Convert to fraction form
    71,946.72/107,894.16 = 30,396.96/x
  3. Step 3: Cross multiply
    71,946.72x = 107,894.16 × 30,396.96
  4. Step 4: Simplify right side
    71,946.72x = 3,279,654,465.75
  5. Step 5: Solve for x
    x = 3,279,654,465.75/71,946.72
  6. Step 6: Final answer
    x = 45,584.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.