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Finding the Fourth Proportional to 41,046, 56,649 and 23,144.64

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Solution

The fourth proportional to 41,046, 56,649 and 23,144.64 is: 31,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046 : 56,649 = 23,144.64 : x
  2. Step 2: Convert to fraction form
    41,046/56,649 = 23,144.64/x
  3. Step 3: Cross multiply
    41,046x = 56,649 × 23,144.64
  4. Step 4: Simplify right side
    41,046x = 1,311,120,711.36
  5. Step 5: Solve for x
    x = 1,311,120,711.36/41,046
  6. Step 6: Final answer
    x = 31,942.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.