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Finding the Fourth Proportional to 29,927, 44,896.98 and 11,459

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Solution

The fourth proportional to 29,927, 44,896.98 and 11,459 is: 17,190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927 : 44,896.98 = 11,459 : x
  2. Step 2: Convert to fraction form
    29,927/44,896.98 = 11,459/x
  3. Step 3: Cross multiply
    29,927x = 44,896.98 × 11,459
  4. Step 4: Simplify right side
    29,927x = 514,474,493.82
  5. Step 5: Solve for x
    x = 514,474,493.82/29,927
  6. Step 6: Final answer
    x = 17,190.98

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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.