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Finding the Fourth Proportional to 104,066.80, 156,084.36 and 33,946

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Solution

The fourth proportional to 104,066.80, 156,084.36 and 33,946 is: 50,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066.80 : 156,084.36 = 33,946 : x
  2. Step 2: Convert to fraction form
    104,066.80/156,084.36 = 33,946/x
  3. Step 3: Cross multiply
    104,066.80x = 156,084.36 × 33,946
  4. Step 4: Simplify right side
    104,066.80x = 5,298,439,684.56
  5. Step 5: Solve for x
    x = 5,298,439,684.56/104,066.80
  6. Step 6: Final answer
    x = 50,913.83

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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.