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Finding the Fourth Proportional to 59,769.70, 82,482.19 and 32,912.15

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Solution

The fourth proportional to 59,769.70, 82,482.19 and 32,912.15 is: 45,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,769.70 : 82,482.19 = 32,912.15 : x
  2. Step 2: Convert to fraction form
    59,769.70/82,482.19 = 32,912.15/x
  3. Step 3: Cross multiply
    59,769.70x = 82,482.19 × 32,912.15
  4. Step 4: Simplify right side
    59,769.70x = 2,714,665,714.92
  5. Step 5: Solve for x
    x = 2,714,665,714.92/59,769.70
  6. Step 6: Final answer
    x = 45,418.76

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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.