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Finding the Fourth Proportional to 50,878.01, 70,215.26 and 28,219.16

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Solution

The fourth proportional to 50,878.01, 70,215.26 and 28,219.16 is: 38,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.01 : 70,215.26 = 28,219.16 : x
  2. Step 2: Convert to fraction form
    50,878.01/70,215.26 = 28,219.16/x
  3. Step 3: Cross multiply
    50,878.01x = 70,215.26 × 28,219.16
  4. Step 4: Simplify right side
    50,878.01x = 1,981,415,690.82
  5. Step 5: Solve for x
    x = 1,981,415,690.82/50,878.01
  6. Step 6: Final answer
    x = 38,944.44

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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.