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Finding the Fourth Proportional to 50,800.72, 70,102.56 and 28,138.18

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Solution

The fourth proportional to 50,800.72, 70,102.56 and 28,138.18 is: 38,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,800.72 : 70,102.56 = 28,138.18 : x
  2. Step 2: Convert to fraction form
    50,800.72/70,102.56 = 28,138.18/x
  3. Step 3: Cross multiply
    50,800.72x = 70,102.56 × 28,138.18
  4. Step 4: Simplify right side
    50,800.72x = 1,972,558,451.74
  5. Step 5: Solve for x
    x = 1,972,558,451.74/50,800.72
  6. Step 6: Final answer
    x = 38,829.34

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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.