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Finding the Fourth Proportional to 31,103.80, 46,655.70 and 27,734.20

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Solution

The fourth proportional to 31,103.80, 46,655.70 and 27,734.20 is: 41,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.80 : 46,655.70 = 27,734.20 : x
  2. Step 2: Convert to fraction form
    31,103.80/46,655.70 = 27,734.20/x
  3. Step 3: Cross multiply
    31,103.80x = 46,655.70 × 27,734.20
  4. Step 4: Simplify right side
    31,103.80x = 1,293,958,514.94
  5. Step 5: Solve for x
    x = 1,293,958,514.94/31,103.80
  6. Step 6: Final answer
    x = 41,601.30

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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.