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Finding the Fourth Proportional to 27,604.56, 38,072.52 and 23,282.40

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Solution

The fourth proportional to 27,604.56, 38,072.52 and 23,282.40 is: 32,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.56 : 38,072.52 = 23,282.40 : x
  2. Step 2: Convert to fraction form
    27,604.56/38,072.52 = 23,282.40/x
  3. Step 3: Cross multiply
    27,604.56x = 38,072.52 × 23,282.40
  4. Step 4: Simplify right side
    27,604.56x = 886,419,639.65
  5. Step 5: Solve for x
    x = 886,419,639.65/27,604.56
  6. Step 6: Final answer
    x = 32,111.35

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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.