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Finding the Fourth Proportional to 33,130.64, 45,673.38 and 23,682.80

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Solution

The fourth proportional to 33,130.64, 45,673.38 and 23,682.80 is: 32,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130.64 : 45,673.38 = 23,682.80 : x
  2. Step 2: Convert to fraction form
    33,130.64/45,673.38 = 23,682.80/x
  3. Step 3: Cross multiply
    33,130.64x = 45,673.38 × 23,682.80
  4. Step 4: Simplify right side
    33,130.64x = 1,081,673,523.86
  5. Step 5: Solve for x
    x = 1,081,673,523.86/33,130.64
  6. Step 6: Final answer
    x = 32,648.74

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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.