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Finding the Fourth Proportional to 32,163.16, 48,244.74 and 9,976

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Solution

The fourth proportional to 32,163.16, 48,244.74 and 9,976 is: 14,964.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.16 : 48,244.74 = 9,976 : x
  2. Step 2: Convert to fraction form
    32,163.16/48,244.74 = 9,976/x
  3. Step 3: Cross multiply
    32,163.16x = 48,244.74 × 9,976
  4. Step 4: Simplify right side
    32,163.16x = 481,289,526.24
  5. Step 5: Solve for x
    x = 481,289,526.24/32,163.16
  6. Step 6: Final answer
    x = 14,964.00

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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.