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Finding the Fourth Proportional to 27,596.16, 38,047.12 and 20,053.44

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Solution

The fourth proportional to 27,596.16, 38,047.12 and 20,053.44 is: 27,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.16 : 38,047.12 = 20,053.44 : x
  2. Step 2: Convert to fraction form
    27,596.16/38,047.12 = 20,053.44/x
  3. Step 3: Cross multiply
    27,596.16x = 38,047.12 × 20,053.44
  4. Step 4: Simplify right side
    27,596.16x = 762,975,638.09
  5. Step 5: Solve for x
    x = 762,975,638.09/27,596.16
  6. Step 6: Final answer
    x = 27,647.89

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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.