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Finding the Fourth Proportional to 50,802, 70,110.96 and 29,582.64

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Solution

The fourth proportional to 50,802, 70,110.96 and 29,582.64 is: 40,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,802 : 70,110.96 = 29,582.64 : x
  2. Step 2: Convert to fraction form
    50,802/70,110.96 = 29,582.64/x
  3. Step 3: Cross multiply
    50,802x = 70,110.96 × 29,582.64
  4. Step 4: Simplify right side
    50,802x = 2,074,067,289.73
  5. Step 5: Solve for x
    x = 2,074,067,289.73/50,802
  6. Step 6: Final answer
    x = 40,826.49

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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.