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Finding the Fourth Proportional to 103,243.92, 154,803.96 and 49,903.44

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Solution

The fourth proportional to 103,243.92, 154,803.96 and 49,903.44 is: 74,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,243.92 : 154,803.96 = 49,903.44 : x
  2. Step 2: Convert to fraction form
    103,243.92/154,803.96 = 49,903.44/x
  3. Step 3: Cross multiply
    103,243.92x = 154,803.96 × 49,903.44
  4. Step 4: Simplify right side
    103,243.92x = 7,725,250,129.62
  5. Step 5: Solve for x
    x = 7,725,250,129.62/103,243.92
  6. Step 6: Final answer
    x = 74,825.23

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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.