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Finding the Fourth Proportional to 32,407.40, 44,709.06 and 19,839.44

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Solution

The fourth proportional to 32,407.40, 44,709.06 and 19,839.44 is: 27,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.40 : 44,709.06 = 19,839.44 : x
  2. Step 2: Convert to fraction form
    32,407.40/44,709.06 = 19,839.44/x
  3. Step 3: Cross multiply
    32,407.40x = 44,709.06 × 19,839.44
  4. Step 4: Simplify right side
    32,407.40x = 887,002,713.33
  5. Step 5: Solve for x
    x = 887,002,713.33/32,407.40
  6. Step 6: Final answer
    x = 27,370.38

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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.