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Finding the Fourth Proportional to 34,124.80, 51,100.80 and 27,212.80

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Solution

The fourth proportional to 34,124.80, 51,100.80 and 27,212.80 is: 40,750.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,124.80 : 51,100.80 = 27,212.80 : x
  2. Step 2: Convert to fraction form
    34,124.80/51,100.80 = 27,212.80/x
  3. Step 3: Cross multiply
    34,124.80x = 51,100.80 × 27,212.80
  4. Step 4: Simplify right side
    34,124.80x = 1,390,595,850.24
  5. Step 5: Solve for x
    x = 1,390,595,850.24/34,124.80
  6. Step 6: Final answer
    x = 40,750.30

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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.