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Finding the Fourth Proportional to 51,952.77, 71,694.96 and 32,866.65

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Solution

The fourth proportional to 51,952.77, 71,694.96 and 32,866.65 is: 45,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.77 : 71,694.96 = 32,866.65 : x
  2. Step 2: Convert to fraction form
    51,952.77/71,694.96 = 32,866.65/x
  3. Step 3: Cross multiply
    51,952.77x = 71,694.96 × 32,866.65
  4. Step 4: Simplify right side
    51,952.77x = 2,356,373,157.08
  5. Step 5: Solve for x
    x = 2,356,373,157.08/51,952.77
  6. Step 6: Final answer
    x = 45,356.06

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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.