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Finding the Fourth Proportional to 32,152.24, 44,373 and 17,813.44

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Solution

The fourth proportional to 32,152.24, 44,373 and 17,813.44 is: 24,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.24 : 44,373 = 17,813.44 : x
  2. Step 2: Convert to fraction form
    32,152.24/44,373 = 17,813.44/x
  3. Step 3: Cross multiply
    32,152.24x = 44,373 × 17,813.44
  4. Step 4: Simplify right side
    32,152.24x = 790,435,773.12
  5. Step 5: Solve for x
    x = 790,435,773.12/32,152.24
  6. Step 6: Final answer
    x = 24,584.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.