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Finding the Fourth Proportional to 49,542, 68,367.06 and 28,031.52

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Solution

The fourth proportional to 49,542, 68,367.06 and 28,031.52 is: 38,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542 : 68,367.06 = 28,031.52 : x
  2. Step 2: Convert to fraction form
    49,542/68,367.06 = 28,031.52/x
  3. Step 3: Cross multiply
    49,542x = 68,367.06 × 28,031.52
  4. Step 4: Simplify right side
    49,542x = 1,916,432,609.73
  5. Step 5: Solve for x
    x = 1,916,432,609.73/49,542
  6. Step 6: Final answer
    x = 38,682.99

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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.