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Finding the Fourth Proportional to 68,015.50, 102,029.13 and 18,767.50

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Solution

The fourth proportional to 68,015.50, 102,029.13 and 18,767.50 is: 28,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015.50 : 102,029.13 = 18,767.50 : x
  2. Step 2: Convert to fraction form
    68,015.50/102,029.13 = 18,767.50/x
  3. Step 3: Cross multiply
    68,015.50x = 102,029.13 × 18,767.50
  4. Step 4: Simplify right side
    68,015.50x = 1,914,831,697.28
  5. Step 5: Solve for x
    x = 1,914,831,697.28/68,015.50
  6. Step 6: Final answer
    x = 28,152.87

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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.