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Finding the Fourth Proportional to 32,347.26, 44,618.40 and 20,857.14

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Solution

The fourth proportional to 32,347.26, 44,618.40 and 20,857.14 is: 28,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.26 : 44,618.40 = 20,857.14 : x
  2. Step 2: Convert to fraction form
    32,347.26/44,618.40 = 20,857.14/x
  3. Step 3: Cross multiply
    32,347.26x = 44,618.40 × 20,857.14
  4. Step 4: Simplify right side
    32,347.26x = 930,612,215.38
  5. Step 5: Solve for x
    x = 930,612,215.38/32,347.26
  6. Step 6: Final answer
    x = 28,769.43

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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.