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Finding the Fourth Proportional to 32,989.85, 49,493.21 and 9,616.22

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Solution

The fourth proportional to 32,989.85, 49,493.21 and 9,616.22 is: 14,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989.85 : 49,493.21 = 9,616.22 : x
  2. Step 2: Convert to fraction form
    32,989.85/49,493.21 = 9,616.22/x
  3. Step 3: Cross multiply
    32,989.85x = 49,493.21 × 9,616.22
  4. Step 4: Simplify right side
    32,989.85x = 475,937,300.32
  5. Step 5: Solve for x
    x = 475,937,300.32/32,989.85
  6. Step 6: Final answer
    x = 14,426.78

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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.