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Finding the Fourth Proportional to 77,497.20, 116,274 and 47,880.96

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Solution

The fourth proportional to 77,497.20, 116,274 and 47,880.96 is: 71,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497.20 : 116,274 = 47,880.96 : x
  2. Step 2: Convert to fraction form
    77,497.20/116,274 = 47,880.96/x
  3. Step 3: Cross multiply
    77,497.20x = 116,274 × 47,880.96
  4. Step 4: Simplify right side
    77,497.20x = 5,567,310,743.04
  5. Step 5: Solve for x
    x = 5,567,310,743.04/77,497.20
  6. Step 6: Final answer
    x = 71,838.86

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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.