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Finding the Fourth Proportional to 68,524.60, 102,786.90 and 24,201.40

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Solution

The fourth proportional to 68,524.60, 102,786.90 and 24,201.40 is: 36,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,524.60 : 102,786.90 = 24,201.40 : x
  2. Step 2: Convert to fraction form
    68,524.60/102,786.90 = 24,201.40/x
  3. Step 3: Cross multiply
    68,524.60x = 102,786.90 × 24,201.40
  4. Step 4: Simplify right side
    68,524.60x = 2,487,586,881.66
  5. Step 5: Solve for x
    x = 2,487,586,881.66/68,524.60
  6. Step 6: Final answer
    x = 36,302.10

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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.