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Finding the Fourth Proportional to 84,143.27, 126,118.01 and 34,168.50

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Solution

The fourth proportional to 84,143.27, 126,118.01 and 34,168.50 is: 51,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.27 : 126,118.01 = 34,168.50 : x
  2. Step 2: Convert to fraction form
    84,143.27/126,118.01 = 34,168.50/x
  3. Step 3: Cross multiply
    84,143.27x = 126,118.01 × 34,168.50
  4. Step 4: Simplify right side
    84,143.27x = 4,309,263,310.11
  5. Step 5: Solve for x
    x = 4,309,263,310.11/84,143.27
  6. Step 6: Final answer
    x = 51,213.40

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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.