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Finding the Fourth Proportional to 29,596.38, 40,843 and 17,021.12

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Solution

The fourth proportional to 29,596.38, 40,843 and 17,021.12 is: 23,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596.38 : 40,843 = 17,021.12 : x
  2. Step 2: Convert to fraction form
    29,596.38/40,843 = 17,021.12/x
  3. Step 3: Cross multiply
    29,596.38x = 40,843 × 17,021.12
  4. Step 4: Simplify right side
    29,596.38x = 695,193,604.16
  5. Step 5: Solve for x
    x = 695,193,604.16/29,596.38
  6. Step 6: Final answer
    x = 23,489.14

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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.