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Finding the Fourth Proportional to 59,198.83, 81,694.47 and 32,341.80

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Solution

The fourth proportional to 59,198.83, 81,694.47 and 32,341.80 is: 44,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,198.83 : 81,694.47 = 32,341.80 : x
  2. Step 2: Convert to fraction form
    59,198.83/81,694.47 = 32,341.80/x
  3. Step 3: Cross multiply
    59,198.83x = 81,694.47 × 32,341.80
  4. Step 4: Simplify right side
    59,198.83x = 2,642,146,209.85
  5. Step 5: Solve for x
    x = 2,642,146,209.85/59,198.83
  6. Step 6: Final answer
    x = 44,631.73

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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.