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Finding the Fourth Proportional to 29,770, 41,082.60 and 16,522

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Solution

The fourth proportional to 29,770, 41,082.60 and 16,522 is: 22,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 41,082.60 = 16,522 : x
  2. Step 2: Convert to fraction form
    29,770/41,082.60 = 16,522/x
  3. Step 3: Cross multiply
    29,770x = 41,082.60 × 16,522
  4. Step 4: Simplify right side
    29,770x = 678,766,717.20
  5. Step 5: Solve for x
    x = 678,766,717.20/29,770
  6. Step 6: Final answer
    x = 22,800.36

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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.