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Finding the Fourth Proportional to 27,832, 41,678.74 and 19,472.88

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Solution

The fourth proportional to 27,832, 41,678.74 and 19,472.88 is: 29,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 41,678.74 = 19,472.88 : x
  2. Step 2: Convert to fraction form
    27,832/41,678.74 = 19,472.88/x
  3. Step 3: Cross multiply
    27,832x = 41,678.74 × 19,472.88
  4. Step 4: Simplify right side
    27,832x = 811,605,102.57
  5. Step 5: Solve for x
    x = 811,605,102.57/27,832
  6. Step 6: Final answer
    x = 29,160.86

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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.