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Finding the Fourth Proportional to 68,628.60, 102,942.90 and 24,305.40

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Solution

The fourth proportional to 68,628.60, 102,942.90 and 24,305.40 is: 36,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,628.60 : 102,942.90 = 24,305.40 : x
  2. Step 2: Convert to fraction form
    68,628.60/102,942.90 = 24,305.40/x
  3. Step 3: Cross multiply
    68,628.60x = 102,942.90 × 24,305.40
  4. Step 4: Simplify right side
    68,628.60x = 2,502,068,361.66
  5. Step 5: Solve for x
    x = 2,502,068,361.66/68,628.60
  6. Step 6: Final answer
    x = 36,458.10

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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.