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Finding the Fourth Proportional to 32,997.28, 49,495.92 and 9,625.60

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Solution

The fourth proportional to 32,997.28, 49,495.92 and 9,625.60 is: 14,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.28 : 49,495.92 = 9,625.60 : x
  2. Step 2: Convert to fraction form
    32,997.28/49,495.92 = 9,625.60/x
  3. Step 3: Cross multiply
    32,997.28x = 49,495.92 × 9,625.60
  4. Step 4: Simplify right side
    32,997.28x = 476,427,927.55
  5. Step 5: Solve for x
    x = 476,427,927.55/32,997.28
  6. Step 6: Final answer
    x = 14,438.40

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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.