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Finding the Fourth Proportional to 32,727.34, 49,090.02 and 9,036.33

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Solution

The fourth proportional to 32,727.34, 49,090.02 and 9,036.33 is: 13,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727.34 : 49,090.02 = 9,036.33 : x
  2. Step 2: Convert to fraction form
    32,727.34/49,090.02 = 9,036.33/x
  3. Step 3: Cross multiply
    32,727.34x = 49,090.02 × 9,036.33
  4. Step 4: Simplify right side
    32,727.34x = 443,593,620.43
  5. Step 5: Solve for x
    x = 443,593,620.43/32,727.34
  6. Step 6: Final answer
    x = 13,554.22

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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.