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Finding the Fourth Proportional to 36,643.80, 54,965.70 and 32,950.20

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Solution

The fourth proportional to 36,643.80, 54,965.70 and 32,950.20 is: 49,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.80 : 54,965.70 = 32,950.20 : x
  2. Step 2: Convert to fraction form
    36,643.80/54,965.70 = 32,950.20/x
  3. Step 3: Cross multiply
    36,643.80x = 54,965.70 × 32,950.20
  4. Step 4: Simplify right side
    36,643.80x = 1,811,130,808.14
  5. Step 5: Solve for x
    x = 1,811,130,808.14/36,643.80
  6. Step 6: Final answer
    x = 49,425.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.