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Finding the Fourth Proportional to 86,624, 129,936 and 20,960

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Solution

The fourth proportional to 86,624, 129,936 and 20,960 is: 31,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,624 : 129,936 = 20,960 : x
  2. Step 2: Convert to fraction form
    86,624/129,936 = 20,960/x
  3. Step 3: Cross multiply
    86,624x = 129,936 × 20,960
  4. Step 4: Simplify right side
    86,624x = 2,723,458,560
  5. Step 5: Solve for x
    x = 2,723,458,560/86,624
  6. Step 6: Final answer
    x = 31,440

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.