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Finding the Fourth Proportional to 67,020.44, 100,492.23 and 27,545

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Solution

The fourth proportional to 67,020.44, 100,492.23 and 27,545 is: 41,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,020.44 : 100,492.23 = 27,545 : x
  2. Step 2: Convert to fraction form
    67,020.44/100,492.23 = 27,545/x
  3. Step 3: Cross multiply
    67,020.44x = 100,492.23 × 27,545
  4. Step 4: Simplify right side
    67,020.44x = 2,768,058,475.35
  5. Step 5: Solve for x
    x = 2,768,058,475.35/67,020.44
  6. Step 6: Final answer
    x = 41,301.71

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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.