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Finding the Fourth Proportional to 59,563, 82,198.14 and 32,705.44

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Solution

The fourth proportional to 59,563, 82,198.14 and 32,705.44 is: 45,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,563 : 82,198.14 = 32,705.44 : x
  2. Step 2: Convert to fraction form
    59,563/82,198.14 = 32,705.44/x
  3. Step 3: Cross multiply
    59,563x = 82,198.14 × 32,705.44
  4. Step 4: Simplify right side
    59,563x = 2,688,326,335.88
  5. Step 5: Solve for x
    x = 2,688,326,335.88/59,563
  6. Step 6: Final answer
    x = 45,134.17

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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.