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Finding the Fourth Proportional to 27,821.92, 41,732.91 and 7,045.42

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Solution

The fourth proportional to 27,821.92, 41,732.91 and 7,045.42 is: 10,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.92 : 41,732.91 = 7,045.42 : x
  2. Step 2: Convert to fraction form
    27,821.92/41,732.91 = 7,045.42/x
  3. Step 3: Cross multiply
    27,821.92x = 41,732.91 × 7,045.42
  4. Step 4: Simplify right side
    27,821.92x = 294,025,878.77
  5. Step 5: Solve for x
    x = 294,025,878.77/27,821.92
  6. Step 6: Final answer
    x = 10,568.14

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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.