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Finding the Fourth Proportional to 73,261.26, 109,811.16 and 47,930.33

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Solution

The fourth proportional to 73,261.26, 109,811.16 and 47,930.33 is: 71,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,261.26 : 109,811.16 = 47,930.33 : x
  2. Step 2: Convert to fraction form
    73,261.26/109,811.16 = 47,930.33/x
  3. Step 3: Cross multiply
    73,261.26x = 109,811.16 × 47,930.33
  4. Step 4: Simplify right side
    73,261.26x = 5,263,285,411.01
  5. Step 5: Solve for x
    x = 5,263,285,411.01/73,261.26
  6. Step 6: Final answer
    x = 71,842.68

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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.