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Finding the Fourth Proportional to 110,478.40, 165,723.36 and 31,604.24

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Solution

The fourth proportional to 110,478.40, 165,723.36 and 31,604.24 is: 47,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,478.40 : 165,723.36 = 31,604.24 : x
  2. Step 2: Convert to fraction form
    110,478.40/165,723.36 = 31,604.24/x
  3. Step 3: Cross multiply
    110,478.40x = 165,723.36 × 31,604.24
  4. Step 4: Simplify right side
    110,478.40x = 5,237,560,843.05
  5. Step 5: Solve for x
    x = 5,237,560,843.05/110,478.40
  6. Step 6: Final answer
    x = 47,408.01

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1.5x scale

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.