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Finding the Fourth Proportional to 32,190.72, 44,434.08 and 20,274

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Solution

The fourth proportional to 32,190.72, 44,434.08 and 20,274 is: 27,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.72 : 44,434.08 = 20,274 : x
  2. Step 2: Convert to fraction form
    32,190.72/44,434.08 = 20,274/x
  3. Step 3: Cross multiply
    32,190.72x = 44,434.08 × 20,274
  4. Step 4: Simplify right side
    32,190.72x = 900,856,537.92
  5. Step 5: Solve for x
    x = 900,856,537.92/32,190.72
  6. Step 6: Final answer
    x = 27,984.98

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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.