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Finding the Fourth Proportional to 50,876.49, 70,207.12 and 28,213.71

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Solution

The fourth proportional to 50,876.49, 70,207.12 and 28,213.71 is: 38,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.49 : 70,207.12 = 28,213.71 : x
  2. Step 2: Convert to fraction form
    50,876.49/70,207.12 = 28,213.71/x
  3. Step 3: Cross multiply
    50,876.49x = 70,207.12 × 28,213.71
  4. Step 4: Simplify right side
    50,876.49x = 1,980,803,323.62
  5. Step 5: Solve for x
    x = 1,980,803,323.62/50,876.49
  6. Step 6: Final answer
    x = 38,933.57

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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.