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Finding the Fourth Proportional to 32,509.39, 44,857.50 and 19,760.38

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Solution

The fourth proportional to 32,509.39, 44,857.50 and 19,760.38 is: 27,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.39 : 44,857.50 = 19,760.38 : x
  2. Step 2: Convert to fraction form
    32,509.39/44,857.50 = 19,760.38/x
  3. Step 3: Cross multiply
    32,509.39x = 44,857.50 × 19,760.38
  4. Step 4: Simplify right side
    32,509.39x = 886,401,245.85
  5. Step 5: Solve for x
    x = 886,401,245.85/32,509.39
  6. Step 6: Final answer
    x = 27,266.01

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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.