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Finding the Fourth Proportional to 104,652.10, 156,978.15 and 34,522.30

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Solution

The fourth proportional to 104,652.10, 156,978.15 and 34,522.30 is: 51,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,652.10 : 156,978.15 = 34,522.30 : x
  2. Step 2: Convert to fraction form
    104,652.10/156,978.15 = 34,522.30/x
  3. Step 3: Cross multiply
    104,652.10x = 156,978.15 × 34,522.30
  4. Step 4: Simplify right side
    104,652.10x = 5,419,246,787.75
  5. Step 5: Solve for x
    x = 5,419,246,787.75/104,652.10
  6. Step 6: Final answer
    x = 51,783.45

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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.