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Finding the Fourth Proportional to 32,477.94, 44,825.49 and 27,164.34

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Solution

The fourth proportional to 32,477.94, 44,825.49 and 27,164.34 is: 37,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.94 : 44,825.49 = 27,164.34 : x
  2. Step 2: Convert to fraction form
    32,477.94/44,825.49 = 27,164.34/x
  3. Step 3: Cross multiply
    32,477.94x = 44,825.49 × 27,164.34
  4. Step 4: Simplify right side
    32,477.94x = 1,217,654,851.03
  5. Step 5: Solve for x
    x = 1,217,654,851.03/32,477.94
  6. Step 6: Final answer
    x = 37,491.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.