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Finding the Fourth Proportional to 32,142.54, 44,351.42 and 20,197.41

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Solution

The fourth proportional to 32,142.54, 44,351.42 and 20,197.41 is: 27,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.54 : 44,351.42 = 20,197.41 : x
  2. Step 2: Convert to fraction form
    32,142.54/44,351.42 = 20,197.41/x
  3. Step 3: Cross multiply
    32,142.54x = 44,351.42 × 20,197.41
  4. Step 4: Simplify right side
    32,142.54x = 895,783,712.84
  5. Step 5: Solve for x
    x = 895,783,712.84/32,142.54
  6. Step 6: Final answer
    x = 27,869.10

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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.