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Finding the Fourth Proportional to 32,845.91, 45,324.97 and 20,101.16

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Solution

The fourth proportional to 32,845.91, 45,324.97 and 20,101.16 is: 27,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,845.91 : 45,324.97 = 20,101.16 : x
  2. Step 2: Convert to fraction form
    32,845.91/45,324.97 = 20,101.16/x
  3. Step 3: Cross multiply
    32,845.91x = 45,324.97 × 20,101.16
  4. Step 4: Simplify right side
    32,845.91x = 911,084,537.02
  5. Step 5: Solve for x
    x = 911,084,537.02/32,845.91
  6. Step 6: Final answer
    x = 27,738.15

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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.