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Finding the Fourth Proportional to 33,635.40, 50,451.27 and 10,260

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Solution

The fourth proportional to 33,635.40, 50,451.27 and 10,260 is: 15,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.40 : 50,451.27 = 10,260 : x
  2. Step 2: Convert to fraction form
    33,635.40/50,451.27 = 10,260/x
  3. Step 3: Cross multiply
    33,635.40x = 50,451.27 × 10,260
  4. Step 4: Simplify right side
    33,635.40x = 517,630,030.20
  5. Step 5: Solve for x
    x = 517,630,030.20/33,635.40
  6. Step 6: Final answer
    x = 15,389.44

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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.