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Finding the Fourth Proportional to 68,675.95, 102,982.20 and 31,234.51

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Solution

The fourth proportional to 68,675.95, 102,982.20 and 31,234.51 is: 46,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,675.95 : 102,982.20 = 31,234.51 : x
  2. Step 2: Convert to fraction form
    68,675.95/102,982.20 = 31,234.51/x
  3. Step 3: Cross multiply
    68,675.95x = 102,982.20 × 31,234.51
  4. Step 4: Simplify right side
    68,675.95x = 3,216,598,555.72
  5. Step 5: Solve for x
    x = 3,216,598,555.72/68,675.95
  6. Step 6: Final answer
    x = 46,837.34

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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.