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Finding the Fourth Proportional to 50,827.29, 70,144.36 and 28,168.76

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Solution

The fourth proportional to 50,827.29, 70,144.36 and 28,168.76 is: 38,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,827.29 : 70,144.36 = 28,168.76 : x
  2. Step 2: Convert to fraction form
    50,827.29/70,144.36 = 28,168.76/x
  3. Step 3: Cross multiply
    50,827.29x = 70,144.36 × 28,168.76
  4. Step 4: Simplify right side
    50,827.29x = 1,975,879,221.05
  5. Step 5: Solve for x
    x = 1,975,879,221.05/50,827.29
  6. Step 6: Final answer
    x = 38,874.38

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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.