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Finding the Fourth Proportional to 51,754.68, 71,370.72 and 32,859

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Solution

The fourth proportional to 51,754.68, 71,370.72 and 32,859 is: 45,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754.68 : 71,370.72 = 32,859 : x
  2. Step 2: Convert to fraction form
    51,754.68/71,370.72 = 32,859/x
  3. Step 3: Cross multiply
    51,754.68x = 71,370.72 × 32,859
  4. Step 4: Simplify right side
    51,754.68x = 2,345,170,488.48
  5. Step 5: Solve for x
    x = 2,345,170,488.48/51,754.68
  6. Step 6: Final answer
    x = 45,313.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.