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Finding the Fourth Proportional to 32,077.38, 44,268.21 and 17,930.22

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Solution

The fourth proportional to 32,077.38, 44,268.21 and 17,930.22 is: 24,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.38 : 44,268.21 = 17,930.22 : x
  2. Step 2: Convert to fraction form
    32,077.38/44,268.21 = 17,930.22/x
  3. Step 3: Cross multiply
    32,077.38x = 44,268.21 × 17,930.22
  4. Step 4: Simplify right side
    32,077.38x = 793,738,744.31
  5. Step 5: Solve for x
    x = 793,738,744.31/32,077.38
  6. Step 6: Final answer
    x = 24,744.50

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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.