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Finding the Fourth Proportional to 102,713.10, 154,086.03 and 35,237.46

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Solution

The fourth proportional to 102,713.10, 154,086.03 and 35,237.46 is: 52,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.10 : 154,086.03 = 35,237.46 : x
  2. Step 2: Convert to fraction form
    102,713.10/154,086.03 = 35,237.46/x
  3. Step 3: Cross multiply
    102,713.10x = 154,086.03 × 35,237.46
  4. Step 4: Simplify right side
    102,713.10x = 5,429,600,318.68
  5. Step 5: Solve for x
    x = 5,429,600,318.68/102,713.10
  6. Step 6: Final answer
    x = 52,861.81

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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.