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Finding the Fourth Proportional to 71,082.82, 106,624.36 and 18,492.22

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Solution

The fourth proportional to 71,082.82, 106,624.36 and 18,492.22 is: 27,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082.82 : 106,624.36 = 18,492.22 : x
  2. Step 2: Convert to fraction form
    71,082.82/106,624.36 = 18,492.22/x
  3. Step 3: Cross multiply
    71,082.82x = 106,624.36 × 18,492.22
  4. Step 4: Simplify right side
    71,082.82x = 1,971,721,122.48
  5. Step 5: Solve for x
    x = 1,971,721,122.48/71,082.82
  6. Step 6: Final answer
    x = 27,738.36

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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.