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Finding the Fourth Proportional to 104,131.56, 156,072.14 and 47,894.18

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Solution

The fourth proportional to 104,131.56, 156,072.14 and 47,894.18 is: 71,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,131.56 : 156,072.14 = 47,894.18 : x
  2. Step 2: Convert to fraction form
    104,131.56/156,072.14 = 47,894.18/x
  3. Step 3: Cross multiply
    104,131.56x = 156,072.14 × 47,894.18
  4. Step 4: Simplify right side
    104,131.56x = 7,474,946,146.31
  5. Step 5: Solve for x
    x = 7,474,946,146.31/104,131.56
  6. Step 6: Final answer
    x = 71,783.68

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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.