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Finding the Fourth Proportional to 32,523.38, 44,882.32 and 17,619.38

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Solution

The fourth proportional to 32,523.38, 44,882.32 and 17,619.38 is: 24,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,523.38 : 44,882.32 = 17,619.38 : x
  2. Step 2: Convert to fraction form
    32,523.38/44,882.32 = 17,619.38/x
  3. Step 3: Cross multiply
    32,523.38x = 44,882.32 × 17,619.38
  4. Step 4: Simplify right side
    32,523.38x = 790,798,382.90
  5. Step 5: Solve for x
    x = 790,798,382.90/32,523.38
  6. Step 6: Final answer
    x = 24,314.77

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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.