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Finding the Fourth Proportional to 32,995.70, 49,493.05 and 8,035.71

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Solution

The fourth proportional to 32,995.70, 49,493.05 and 8,035.71 is: 12,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,995.70 : 49,493.05 = 8,035.71 : x
  2. Step 2: Convert to fraction form
    32,995.70/49,493.05 = 8,035.71/x
  3. Step 3: Cross multiply
    32,995.70x = 49,493.05 × 8,035.71
  4. Step 4: Simplify right side
    32,995.70x = 397,711,796.82
  5. Step 5: Solve for x
    x = 397,711,796.82/32,995.70
  6. Step 6: Final answer
    x = 12,053.44

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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.