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Finding the Fourth Proportional to 102,993.90, 154,512.92 and 31,914.98

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Solution

The fourth proportional to 102,993.90, 154,512.92 and 31,914.98 is: 47,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.90 : 154,512.92 = 31,914.98 : x
  2. Step 2: Convert to fraction form
    102,993.90/154,512.92 = 31,914.98/x
  3. Step 3: Cross multiply
    102,993.90x = 154,512.92 × 31,914.98
  4. Step 4: Simplify right side
    102,993.90x = 4,931,276,751.54
  5. Step 5: Solve for x
    x = 4,931,276,751.54/102,993.90
  6. Step 6: Final answer
    x = 47,879.31

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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.