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Finding the Fourth Proportional to 110,064.39, 165,073.50 and 31,157.43

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Solution

The fourth proportional to 110,064.39, 165,073.50 and 31,157.43 is: 46,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,064.39 : 165,073.50 = 31,157.43 : x
  2. Step 2: Convert to fraction form
    110,064.39/165,073.50 = 31,157.43/x
  3. Step 3: Cross multiply
    110,064.39x = 165,073.50 × 31,157.43
  4. Step 4: Simplify right side
    110,064.39x = 5,143,266,021.11
  5. Step 5: Solve for x
    x = 5,143,266,021.11/110,064.39
  6. Step 6: Final answer
    x = 46,729.61

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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.