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Finding the Fourth Proportional to 50,876.81, 70,207.53 and 28,216.70

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Solution

The fourth proportional to 50,876.81, 70,207.53 and 28,216.70 is: 38,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.81 : 70,207.53 = 28,216.70 : x
  2. Step 2: Convert to fraction form
    50,876.81/70,207.53 = 28,216.70/x
  3. Step 3: Cross multiply
    50,876.81x = 70,207.53 × 28,216.70
  4. Step 4: Simplify right side
    50,876.81x = 1,981,024,811.75
  5. Step 5: Solve for x
    x = 1,981,024,811.75/50,876.81
  6. Step 6: Final answer
    x = 38,937.68

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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.