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Finding the Fourth Proportional to 68,314.14, 102,408.68 and 23,916.68

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Solution

The fourth proportional to 68,314.14, 102,408.68 and 23,916.68 is: 35,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.14 : 102,408.68 = 23,916.68 : x
  2. Step 2: Convert to fraction form
    68,314.14/102,408.68 = 23,916.68/x
  3. Step 3: Cross multiply
    68,314.14x = 102,408.68 × 23,916.68
  4. Step 4: Simplify right side
    68,314.14x = 2,449,275,628.78
  5. Step 5: Solve for x
    x = 2,449,275,628.78/68,314.14
  6. Step 6: Final answer
    x = 35,853.13

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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.