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Finding the Fourth Proportional to 41,776, 62,664 and 12,592

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Solution

The fourth proportional to 41,776, 62,664 and 12,592 is: 18,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,776 : 62,664 = 12,592 : x
  2. Step 2: Convert to fraction form
    41,776/62,664 = 12,592/x
  3. Step 3: Cross multiply
    41,776x = 62,664 × 12,592
  4. Step 4: Simplify right side
    41,776x = 789,065,088
  5. Step 5: Solve for x
    x = 789,065,088/41,776
  6. Step 6: Final answer
    x = 18,888

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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.