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Finding the Fourth Proportional to 32,604.75, 48,914.10 and 10,114.94

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Solution

The fourth proportional to 32,604.75, 48,914.10 and 10,114.94 is: 15,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604.75 : 48,914.10 = 10,114.94 : x
  2. Step 2: Convert to fraction form
    32,604.75/48,914.10 = 10,114.94/x
  3. Step 3: Cross multiply
    32,604.75x = 48,914.10 × 10,114.94
  4. Step 4: Simplify right side
    32,604.75x = 494,763,186.65
  5. Step 5: Solve for x
    x = 494,763,186.65/32,604.75
  6. Step 6: Final answer
    x = 15,174.57

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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.