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Finding the Fourth Proportional to 56,061, 84,091.50 and 22,799.16

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Solution

The fourth proportional to 56,061, 84,091.50 and 22,799.16 is: 34,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,061 : 84,091.50 = 22,799.16 : x
  2. Step 2: Convert to fraction form
    56,061/84,091.50 = 22,799.16/x
  3. Step 3: Cross multiply
    56,061x = 84,091.50 × 22,799.16
  4. Step 4: Simplify right side
    56,061x = 1,917,215,563.14
  5. Step 5: Solve for x
    x = 1,917,215,563.14/56,061
  6. Step 6: Final answer
    x = 34,198.74

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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.