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Finding the Fourth Proportional to 32,872.57, 49,289.10 and 12,858.22

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Solution

The fourth proportional to 32,872.57, 49,289.10 and 12,858.22 is: 19,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.57 : 49,289.10 = 12,858.22 : x
  2. Step 2: Convert to fraction form
    32,872.57/49,289.10 = 12,858.22/x
  3. Step 3: Cross multiply
    32,872.57x = 49,289.10 × 12,858.22
  4. Step 4: Simplify right side
    32,872.57x = 633,770,091.40
  5. Step 5: Solve for x
    x = 633,770,091.40/32,872.57
  6. Step 6: Final answer
    x = 19,279.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.