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Finding the Fourth Proportional to 56,067, 84,100.50 and 22,805.16

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Solution

The fourth proportional to 56,067, 84,100.50 and 22,805.16 is: 34,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,067 : 84,100.50 = 22,805.16 : x
  2. Step 2: Convert to fraction form
    56,067/84,100.50 = 22,805.16/x
  3. Step 3: Cross multiply
    56,067x = 84,100.50 × 22,805.16
  4. Step 4: Simplify right side
    56,067x = 1,917,925,358.58
  5. Step 5: Solve for x
    x = 1,917,925,358.58/56,067
  6. Step 6: Final answer
    x = 34,207.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.