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Finding the Fourth Proportional to 41,571, 62,357.04 and 13,869

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Solution

The fourth proportional to 41,571, 62,357.04 and 13,869 is: 20,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571 : 62,357.04 = 13,869 : x
  2. Step 2: Convert to fraction form
    41,571/62,357.04 = 13,869/x
  3. Step 3: Cross multiply
    41,571x = 62,357.04 × 13,869
  4. Step 4: Simplify right side
    41,571x = 864,829,787.76
  5. Step 5: Solve for x
    x = 864,829,787.76/41,571
  6. Step 6: Final answer
    x = 20,803.68

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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.