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Finding the Fourth Proportional to 27,706.67, 41,532.29 and 9,932.49

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Solution

The fourth proportional to 27,706.67, 41,532.29 and 9,932.49 is: 14,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.67 : 41,532.29 = 9,932.49 : x
  2. Step 2: Convert to fraction form
    27,706.67/41,532.29 = 9,932.49/x
  3. Step 3: Cross multiply
    27,706.67x = 41,532.29 × 9,932.49
  4. Step 4: Simplify right side
    27,706.67x = 412,519,005.44
  5. Step 5: Solve for x
    x = 412,519,005.44/27,706.67
  6. Step 6: Final answer
    x = 14,888.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.