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Finding the Fourth Proportional to 94,171, 129,967.50 and 54,427

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Solution

The fourth proportional to 94,171, 129,967.50 and 54,427 is: 75,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,171 : 129,967.50 = 54,427 : x
  2. Step 2: Convert to fraction form
    94,171/129,967.50 = 54,427/x
  3. Step 3: Cross multiply
    94,171x = 129,967.50 × 54,427
  4. Step 4: Simplify right side
    94,171x = 7,073,741,122.50
  5. Step 5: Solve for x
    x = 7,073,741,122.50/94,171
  6. Step 6: Final answer
    x = 75,115.92

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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.