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Finding the Fourth Proportional to 32,196.52, 44,431 and 18,049.06

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Solution

The fourth proportional to 32,196.52, 44,431 and 18,049.06 is: 24,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.52 : 44,431 = 18,049.06 : x
  2. Step 2: Convert to fraction form
    32,196.52/44,431 = 18,049.06/x
  3. Step 3: Cross multiply
    32,196.52x = 44,431 × 18,049.06
  4. Step 4: Simplify right side
    32,196.52x = 801,937,784.86
  5. Step 5: Solve for x
    x = 801,937,784.86/32,196.52
  6. Step 6: Final answer
    x = 24,907.59

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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.