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Finding the Fourth Proportional to 67,853.70, 101,739.51 and 30,406.86

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Solution

The fourth proportional to 67,853.70, 101,739.51 and 30,406.86 is: 45,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,853.70 : 101,739.51 = 30,406.86 : x
  2. Step 2: Convert to fraction form
    67,853.70/101,739.51 = 30,406.86/x
  3. Step 3: Cross multiply
    67,853.70x = 101,739.51 × 30,406.86
  4. Step 4: Simplify right side
    67,853.70x = 3,093,579,037.04
  5. Step 5: Solve for x
    x = 3,093,579,037.04/67,853.70
  6. Step 6: Final answer
    x = 45,591.90

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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.