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Finding the Fourth Proportional to 37,124, 55,684.92 and 13,749.92

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Solution

The fourth proportional to 37,124, 55,684.92 and 13,749.92 is: 20,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,124 : 55,684.92 = 13,749.92 : x
  2. Step 2: Convert to fraction form
    37,124/55,684.92 = 13,749.92/x
  3. Step 3: Cross multiply
    37,124x = 55,684.92 × 13,749.92
  4. Step 4: Simplify right side
    37,124x = 765,663,195.21
  5. Step 5: Solve for x
    x = 765,663,195.21/37,124
  6. Step 6: Final answer
    x = 20,624.48

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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.