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Finding the Fourth Proportional to 29,693.94, 40,977.69 and 16,082.13

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Solution

The fourth proportional to 29,693.94, 40,977.69 and 16,082.13 is: 22,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.94 : 40,977.69 = 16,082.13 : x
  2. Step 2: Convert to fraction form
    29,693.94/40,977.69 = 16,082.13/x
  3. Step 3: Cross multiply
    29,693.94x = 40,977.69 × 16,082.13
  4. Step 4: Simplify right side
    29,693.94x = 659,008,537.68
  5. Step 5: Solve for x
    x = 659,008,537.68/29,693.94
  6. Step 6: Final answer
    x = 22,193.37

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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.