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Finding the Fourth Proportional to 31,165.44, 46,765.84 and 11,441.44

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Solution

The fourth proportional to 31,165.44, 46,765.84 and 11,441.44 is: 17,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,165.44 : 46,765.84 = 11,441.44 : x
  2. Step 2: Convert to fraction form
    31,165.44/46,765.84 = 11,441.44/x
  3. Step 3: Cross multiply
    31,165.44x = 46,765.84 × 11,441.44
  4. Step 4: Simplify right side
    31,165.44x = 535,068,552.41
  5. Step 5: Solve for x
    x = 535,068,552.41/31,165.44
  6. Step 6: Final answer
    x = 17,168.65

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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.