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Finding the Fourth Proportional to 59,583.96, 82,226.74 and 32,728.88

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Solution

The fourth proportional to 59,583.96, 82,226.74 and 32,728.88 is: 45,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,583.96 : 82,226.74 = 32,728.88 : x
  2. Step 2: Convert to fraction form
    59,583.96/82,226.74 = 32,728.88/x
  3. Step 3: Cross multiply
    59,583.96x = 82,226.74 × 32,728.88
  4. Step 4: Simplify right side
    59,583.96x = 2,691,189,106.25
  5. Step 5: Solve for x
    x = 2,691,189,106.25/59,583.96
  6. Step 6: Final answer
    x = 45,166.34

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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.