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Finding the Fourth Proportional to 29,092, 43,638 and 10,624

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Solution

The fourth proportional to 29,092, 43,638 and 10,624 is: 15,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,092 : 43,638 = 10,624 : x
  2. Step 2: Convert to fraction form
    29,092/43,638 = 10,624/x
  3. Step 3: Cross multiply
    29,092x = 43,638 × 10,624
  4. Step 4: Simplify right side
    29,092x = 463,610,112
  5. Step 5: Solve for x
    x = 463,610,112/29,092
  6. Step 6: Final answer
    x = 15,936

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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.