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Finding the Fourth Proportional to 29,670.82, 40,944.41 and 16,242.64

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Solution

The fourth proportional to 29,670.82, 40,944.41 and 16,242.64 is: 22,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670.82 : 40,944.41 = 16,242.64 : x
  2. Step 2: Convert to fraction form
    29,670.82/40,944.41 = 16,242.64/x
  3. Step 3: Cross multiply
    29,670.82x = 40,944.41 × 16,242.64
  4. Step 4: Simplify right side
    29,670.82x = 665,045,311.64
  5. Step 5: Solve for x
    x = 665,045,311.64/29,670.82
  6. Step 6: Final answer
    x = 22,414.12

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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.