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Finding the Fourth Proportional to 68,227.31, 102,216.29 and 49,460.81

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Solution

The fourth proportional to 68,227.31, 102,216.29 and 49,460.81 is: 74,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,227.31 : 102,216.29 = 49,460.81 : x
  2. Step 2: Convert to fraction form
    68,227.31/102,216.29 = 49,460.81/x
  3. Step 3: Cross multiply
    68,227.31x = 102,216.29 × 49,460.81
  4. Step 4: Simplify right side
    68,227.31x = 5,055,699,740.21
  5. Step 5: Solve for x
    x = 5,055,699,740.21/68,227.31
  6. Step 6: Final answer
    x = 74,100.82

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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.