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Finding the Fourth Proportional to 50,826.92, 70,143.84 and 28,168.38

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Solution

The fourth proportional to 50,826.92, 70,143.84 and 28,168.38 is: 38,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,826.92 : 70,143.84 = 28,168.38 : x
  2. Step 2: Convert to fraction form
    50,826.92/70,143.84 = 28,168.38/x
  3. Step 3: Cross multiply
    50,826.92x = 70,143.84 × 28,168.38
  4. Step 4: Simplify right side
    50,826.92x = 1,975,838,339.78
  5. Step 5: Solve for x
    x = 1,975,838,339.78/50,826.92
  6. Step 6: Final answer
    x = 38,873.86

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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.