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Finding the Fourth Proportional to 32,858.46, 49,282.83 and 10,672.56

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Solution

The fourth proportional to 32,858.46, 49,282.83 and 10,672.56 is: 16,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,858.46 : 49,282.83 = 10,672.56 : x
  2. Step 2: Convert to fraction form
    32,858.46/49,282.83 = 10,672.56/x
  3. Step 3: Cross multiply
    32,858.46x = 49,282.83 × 10,672.56
  4. Step 4: Simplify right side
    32,858.46x = 525,973,960.14
  5. Step 5: Solve for x
    x = 525,973,960.14/32,858.46
  6. Step 6: Final answer
    x = 16,007.26

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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.