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Finding the Fourth Proportional to 37,137.15, 55,706.54 and 9,057.40

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Solution

The fourth proportional to 37,137.15, 55,706.54 and 9,057.40 is: 13,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137.15 : 55,706.54 = 9,057.40 : x
  2. Step 2: Convert to fraction form
    37,137.15/55,706.54 = 9,057.40/x
  3. Step 3: Cross multiply
    37,137.15x = 55,706.54 × 9,057.40
  4. Step 4: Simplify right side
    37,137.15x = 504,556,230.84
  5. Step 5: Solve for x
    x = 504,556,230.84/37,137.15
  6. Step 6: Final answer
    x = 13,586.29

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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.