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Finding the Fourth Proportional to 31,229.49, 46,891.76 and 27,278.49

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Solution

The fourth proportional to 31,229.49, 46,891.76 and 27,278.49 is: 40,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.49 : 46,891.76 = 27,278.49 : x
  2. Step 2: Convert to fraction form
    31,229.49/46,891.76 = 27,278.49/x
  3. Step 3: Cross multiply
    31,229.49x = 46,891.76 × 27,278.49
  4. Step 4: Simplify right side
    31,229.49x = 1,279,136,406.24
  5. Step 5: Solve for x
    x = 1,279,136,406.24/31,229.49
  6. Step 6: Final answer
    x = 40,959.25

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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.