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Finding the Fourth Proportional to 68,178.84, 102,268.32 and 32,631.81

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Solution

The fourth proportional to 68,178.84, 102,268.32 and 32,631.81 is: 48,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,178.84 : 102,268.32 = 32,631.81 : x
  2. Step 2: Convert to fraction form
    68,178.84/102,268.32 = 32,631.81/x
  3. Step 3: Cross multiply
    68,178.84x = 102,268.32 × 32,631.81
  4. Step 4: Simplify right side
    68,178.84x = 3,337,200,387.26
  5. Step 5: Solve for x
    x = 3,337,200,387.26/68,178.84
  6. Step 6: Final answer
    x = 48,947.74

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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.