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Finding the Fourth Proportional to 50,716.31, 69,964.92 and 32,817.08

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Solution

The fourth proportional to 50,716.31, 69,964.92 and 32,817.08 is: 45,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.31 : 69,964.92 = 32,817.08 : x
  2. Step 2: Convert to fraction form
    50,716.31/69,964.92 = 32,817.08/x
  3. Step 3: Cross multiply
    50,716.31x = 69,964.92 × 32,817.08
  4. Step 4: Simplify right side
    50,716.31x = 2,296,044,027.01
  5. Step 5: Solve for x
    x = 2,296,044,027.01/50,716.31
  6. Step 6: Final answer
    x = 45,272.30

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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.