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Finding the Fourth Proportional to 32,186.28, 44,432.58 and 20,255.40

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Solution

The fourth proportional to 32,186.28, 44,432.58 and 20,255.40 is: 27,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.28 : 44,432.58 = 20,255.40 : x
  2. Step 2: Convert to fraction form
    32,186.28/44,432.58 = 20,255.40/x
  3. Step 3: Cross multiply
    32,186.28x = 44,432.58 × 20,255.40
  4. Step 4: Simplify right side
    32,186.28x = 899,999,680.93
  5. Step 5: Solve for x
    x = 899,999,680.93/32,186.28
  6. Step 6: Final answer
    x = 27,962.21

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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.