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Finding the Fourth Proportional to 68,017.44, 102,056.94 and 34,720.32

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Solution

The fourth proportional to 68,017.44, 102,056.94 and 34,720.32 is: 52,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,017.44 : 102,056.94 = 34,720.32 : x
  2. Step 2: Convert to fraction form
    68,017.44/102,056.94 = 34,720.32/x
  3. Step 3: Cross multiply
    68,017.44x = 102,056.94 × 34,720.32
  4. Step 4: Simplify right side
    68,017.44x = 3,543,449,615.02
  5. Step 5: Solve for x
    x = 3,543,449,615.02/68,017.44
  6. Step 6: Final answer
    x = 52,096.19

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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.