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Finding the Fourth Proportional to 34,912.50, 48,172.12 and 33,712.38

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Solution

The fourth proportional to 34,912.50, 48,172.12 and 33,712.38 is: 46,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,912.50 : 48,172.12 = 33,712.38 : x
  2. Step 2: Convert to fraction form
    34,912.50/48,172.12 = 33,712.38/x
  3. Step 3: Cross multiply
    34,912.50x = 48,172.12 × 33,712.38
  4. Step 4: Simplify right side
    34,912.50x = 1,623,996,814.85
  5. Step 5: Solve for x
    x = 1,623,996,814.85/34,912.50
  6. Step 6: Final answer
    x = 46,516.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.