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Finding the Fourth Proportional to 67,684.50, 101,524.68 and 32,171.40

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Solution

The fourth proportional to 67,684.50, 101,524.68 and 32,171.40 is: 48,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,684.50 : 101,524.68 = 32,171.40 : x
  2. Step 2: Convert to fraction form
    67,684.50/101,524.68 = 32,171.40/x
  3. Step 3: Cross multiply
    67,684.50x = 101,524.68 × 32,171.40
  4. Step 4: Simplify right side
    67,684.50x = 3,266,191,090.15
  5. Step 5: Solve for x
    x = 3,266,191,090.15/67,684.50
  6. Step 6: Final answer
    x = 48,256.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.