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Finding the Fourth Proportional to 68,409.28, 102,629.31 and 24,039.10

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Solution

The fourth proportional to 68,409.28, 102,629.31 and 24,039.10 is: 36,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409.28 : 102,629.31 = 24,039.10 : x
  2. Step 2: Convert to fraction form
    68,409.28/102,629.31 = 24,039.10/x
  3. Step 3: Cross multiply
    68,409.28x = 102,629.31 × 24,039.10
  4. Step 4: Simplify right side
    68,409.28x = 2,467,116,246.02
  5. Step 5: Solve for x
    x = 2,467,116,246.02/68,409.28
  6. Step 6: Final answer
    x = 36,064.06

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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.