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Finding the Fourth Proportional to 29,737, 41,037.06 and 16,489

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Solution

The fourth proportional to 29,737, 41,037.06 and 16,489 is: 22,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,737 : 41,037.06 = 16,489 : x
  2. Step 2: Convert to fraction form
    29,737/41,037.06 = 16,489/x
  3. Step 3: Cross multiply
    29,737x = 41,037.06 × 16,489
  4. Step 4: Simplify right side
    29,737x = 676,660,082.34
  5. Step 5: Solve for x
    x = 676,660,082.34/29,737
  6. Step 6: Final answer
    x = 22,754.82

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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.