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Finding the Fourth Proportional to 50,878.58, 70,212.64 and 28,219.68

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Solution

The fourth proportional to 50,878.58, 70,212.64 and 28,219.68 is: 38,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.58 : 70,212.64 = 28,219.68 : x
  2. Step 2: Convert to fraction form
    50,878.58/70,212.64 = 28,219.68/x
  3. Step 3: Cross multiply
    50,878.58x = 70,212.64 × 28,219.68
  4. Step 4: Simplify right side
    50,878.58x = 1,981,378,232.76
  5. Step 5: Solve for x
    x = 1,981,378,232.76/50,878.58
  6. Step 6: Final answer
    x = 38,943.27

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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.