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Finding the Fourth Proportional to 32,907.81, 49,361.72 and 8,283.81

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Solution

The fourth proportional to 32,907.81, 49,361.72 and 8,283.81 is: 12,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.81 : 49,361.72 = 8,283.81 : x
  2. Step 2: Convert to fraction form
    32,907.81/49,361.72 = 8,283.81/x
  3. Step 3: Cross multiply
    32,907.81x = 49,361.72 × 8,283.81
  4. Step 4: Simplify right side
    32,907.81x = 408,903,109.75
  5. Step 5: Solve for x
    x = 408,903,109.75/32,907.81
  6. Step 6: Final answer
    x = 12,425.72

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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.