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Finding the Fourth Proportional to 27,407, 37,857.97 and 22,049.61

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Solution

The fourth proportional to 27,407, 37,857.97 and 22,049.61 is: 30,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407 : 37,857.97 = 22,049.61 : x
  2. Step 2: Convert to fraction form
    27,407/37,857.97 = 22,049.61/x
  3. Step 3: Cross multiply
    27,407x = 37,857.97 × 22,049.61
  4. Step 4: Simplify right side
    27,407x = 834,753,363.64
  5. Step 5: Solve for x
    x = 834,753,363.64/27,407
  6. Step 6: Final answer
    x = 30,457.67

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1.5x scale

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.