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Finding the Fourth Proportional to 71,952.60, 107,735.22 and 46,930.62

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Solution

The fourth proportional to 71,952.60, 107,735.22 and 46,930.62 is: 70,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952.60 : 107,735.22 = 46,930.62 : x
  2. Step 2: Convert to fraction form
    71,952.60/107,735.22 = 46,930.62/x
  3. Step 3: Cross multiply
    71,952.60x = 107,735.22 × 46,930.62
  4. Step 4: Simplify right side
    71,952.60x = 5,056,080,670.44
  5. Step 5: Solve for x
    x = 5,056,080,670.44/71,952.60
  6. Step 6: Final answer
    x = 70,269.60

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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.