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Finding the Fourth Proportional to 59,305.14, 81,840.38 and 32,447.30

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Solution

The fourth proportional to 59,305.14, 81,840.38 and 32,447.30 is: 44,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,305.14 : 81,840.38 = 32,447.30 : x
  2. Step 2: Convert to fraction form
    59,305.14/81,840.38 = 32,447.30/x
  3. Step 3: Cross multiply
    59,305.14x = 81,840.38 × 32,447.30
  4. Step 4: Simplify right side
    59,305.14x = 2,655,498,790.54
  5. Step 5: Solve for x
    x = 2,655,498,790.54/59,305.14
  6. Step 6: Final answer
    x = 44,776.87

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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.