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Finding the Fourth Proportional to 29,662.96, 40,944 and 17,096.08

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Solution

The fourth proportional to 29,662.96, 40,944 and 17,096.08 is: 23,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662.96 : 40,944 = 17,096.08 : x
  2. Step 2: Convert to fraction form
    29,662.96/40,944 = 17,096.08/x
  3. Step 3: Cross multiply
    29,662.96x = 40,944 × 17,096.08
  4. Step 4: Simplify right side
    29,662.96x = 699,981,899.52
  5. Step 5: Solve for x
    x = 699,981,899.52/29,662.96
  6. Step 6: Final answer
    x = 23,597.84

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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.