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Finding the Fourth Proportional to 50,874.76, 70,214.34 and 28,218.79

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Solution

The fourth proportional to 50,874.76, 70,214.34 and 28,218.79 is: 38,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.76 : 70,214.34 = 28,218.79 : x
  2. Step 2: Convert to fraction form
    50,874.76/70,214.34 = 28,218.79/x
  3. Step 3: Cross multiply
    50,874.76x = 70,214.34 × 28,218.79
  4. Step 4: Simplify right side
    50,874.76x = 1,981,363,715.45
  5. Step 5: Solve for x
    x = 1,981,363,715.45/50,874.76
  6. Step 6: Final answer
    x = 38,945.91

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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.