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Finding the Fourth Proportional to 32,857.62, 49,287.06 and 10,671

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Solution

The fourth proportional to 32,857.62, 49,287.06 and 10,671 is: 16,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.62 : 49,287.06 = 10,671 : x
  2. Step 2: Convert to fraction form
    32,857.62/49,287.06 = 10,671/x
  3. Step 3: Cross multiply
    32,857.62x = 49,287.06 × 10,671
  4. Step 4: Simplify right side
    32,857.62x = 525,942,217.26
  5. Step 5: Solve for x
    x = 525,942,217.26/32,857.62
  6. Step 6: Final answer
    x = 16,006.70

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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.