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Finding the Fourth Proportional to 32,804, 49,213.81 and 10,617.37

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Solution

The fourth proportional to 32,804, 49,213.81 and 10,617.37 is: 15,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804 : 49,213.81 = 10,617.37 : x
  2. Step 2: Convert to fraction form
    32,804/49,213.81 = 10,617.37/x
  3. Step 3: Cross multiply
    32,804x = 49,213.81 × 10,617.37
  4. Step 4: Simplify right side
    32,804x = 522,521,229.88
  5. Step 5: Solve for x
    x = 522,521,229.88/32,804
  6. Step 6: Final answer
    x = 15,928.58

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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.