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Finding the Fourth Proportional to 51,937.68, 71,674.31 and 32,825.92

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Solution

The fourth proportional to 51,937.68, 71,674.31 and 32,825.92 is: 45,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,937.68 : 71,674.31 = 32,825.92 : x
  2. Step 2: Convert to fraction form
    51,937.68/71,674.31 = 32,825.92/x
  3. Step 3: Cross multiply
    51,937.68x = 71,674.31 × 32,825.92
  4. Step 4: Simplify right side
    51,937.68x = 2,352,775,281.09
  5. Step 5: Solve for x
    x = 2,352,775,281.09/51,937.68
  6. Step 6: Final answer
    x = 45,299.97

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1.5x scale

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.