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Finding the Fourth Proportional to 32,727.96, 49,093.56 and 9,357.84

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Solution

The fourth proportional to 32,727.96, 49,093.56 and 9,357.84 is: 14,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727.96 : 49,093.56 = 9,357.84 : x
  2. Step 2: Convert to fraction form
    32,727.96/49,093.56 = 9,357.84/x
  3. Step 3: Cross multiply
    32,727.96x = 49,093.56 × 9,357.84
  4. Step 4: Simplify right side
    32,727.96x = 459,409,679.51
  5. Step 5: Solve for x
    x = 459,409,679.51/32,727.96
  6. Step 6: Final answer
    x = 14,037.22

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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.