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Finding the Fourth Proportional to 32,953.70, 49,430.12 and 7,993.96

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Solution

The fourth proportional to 32,953.70, 49,430.12 and 7,993.96 is: 11,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.70 : 49,430.12 = 7,993.96 : x
  2. Step 2: Convert to fraction form
    32,953.70/49,430.12 = 7,993.96/x
  3. Step 3: Cross multiply
    32,953.70x = 49,430.12 × 7,993.96
  4. Step 4: Simplify right side
    32,953.70x = 395,142,238.53
  5. Step 5: Solve for x
    x = 395,142,238.53/32,953.70
  6. Step 6: Final answer
    x = 11,990.83

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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.