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Finding the Fourth Proportional to 32,671.41, 48,941.49 and 27,652.26

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Solution

The fourth proportional to 32,671.41, 48,941.49 and 27,652.26 is: 41,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.41 : 48,941.49 = 27,652.26 : x
  2. Step 2: Convert to fraction form
    32,671.41/48,941.49 = 27,652.26/x
  3. Step 3: Cross multiply
    32,671.41x = 48,941.49 × 27,652.26
  4. Step 4: Simplify right side
    32,671.41x = 1,353,342,806.27
  5. Step 5: Solve for x
    x = 1,353,342,806.27/32,671.41
  6. Step 6: Final answer
    x = 41,422.85

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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.