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Finding the Fourth Proportional to 37,031.75, 55,537.02 and 12,073.97

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Solution

The fourth proportional to 37,031.75, 55,537.02 and 12,073.97 is: 18,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,031.75 : 55,537.02 = 12,073.97 : x
  2. Step 2: Convert to fraction form
    37,031.75/55,537.02 = 12,073.97/x
  3. Step 3: Cross multiply
    37,031.75x = 55,537.02 × 12,073.97
  4. Step 4: Simplify right side
    37,031.75x = 670,552,313.37
  5. Step 5: Solve for x
    x = 670,552,313.37/37,031.75
  6. Step 6: Final answer
    x = 18,107.50

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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.