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Finding the Fourth Proportional to 59,357, 81,912.66 and 32,861

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Solution

The fourth proportional to 59,357, 81,912.66 and 32,861 is: 45,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,357 : 81,912.66 = 32,861 : x
  2. Step 2: Convert to fraction form
    59,357/81,912.66 = 32,861/x
  3. Step 3: Cross multiply
    59,357x = 81,912.66 × 32,861
  4. Step 4: Simplify right side
    59,357x = 2,691,731,920.26
  5. Step 5: Solve for x
    x = 2,691,731,920.26/59,357
  6. Step 6: Final answer
    x = 45,348.18

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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.