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Finding the Fourth Proportional to 117,481.23, 176,396.81 and 47,497.23

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Solution

The fourth proportional to 117,481.23, 176,396.81 and 47,497.23 is: 71,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,481.23 : 176,396.81 = 47,497.23 : x
  2. Step 2: Convert to fraction form
    117,481.23/176,396.81 = 47,497.23/x
  3. Step 3: Cross multiply
    117,481.23x = 176,396.81 × 47,497.23
  4. Step 4: Simplify right side
    117,481.23x = 8,378,359,618.35
  5. Step 5: Solve for x
    x = 8,378,359,618.35/117,481.23
  6. Step 6: Final answer
    x = 71,316.58

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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.