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Finding the Fourth Proportional to 35,311.71, 52,967.46 and 9,016.44

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Solution

The fourth proportional to 35,311.71, 52,967.46 and 9,016.44 is: 13,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311.71 : 52,967.46 = 9,016.44 : x
  2. Step 2: Convert to fraction form
    35,311.71/52,967.46 = 9,016.44/x
  3. Step 3: Cross multiply
    35,311.71x = 52,967.46 × 9,016.44
  4. Step 4: Simplify right side
    35,311.71x = 477,577,925.04
  5. Step 5: Solve for x
    x = 477,577,925.04/35,311.71
  6. Step 6: Final answer
    x = 13,524.63

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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.