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Finding the Fourth Proportional to 41,538.58, 57,322.49 and 23,633.20

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Solution

The fourth proportional to 41,538.58, 57,322.49 and 23,633.20 is: 32,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,538.58 : 57,322.49 = 23,633.20 : x
  2. Step 2: Convert to fraction form
    41,538.58/57,322.49 = 23,633.20/x
  3. Step 3: Cross multiply
    41,538.58x = 57,322.49 × 23,633.20
  4. Step 4: Simplify right side
    41,538.58x = 1,354,713,870.67
  5. Step 5: Solve for x
    x = 1,354,713,870.67/41,538.58
  6. Step 6: Final answer
    x = 32,613.39

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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.