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Finding the Fourth Proportional to 32,274.44, 44,417.36 and 27,304

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Solution

The fourth proportional to 32,274.44, 44,417.36 and 27,304 is: 37,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.44 : 44,417.36 = 27,304 : x
  2. Step 2: Convert to fraction form
    32,274.44/44,417.36 = 27,304/x
  3. Step 3: Cross multiply
    32,274.44x = 44,417.36 × 27,304
  4. Step 4: Simplify right side
    32,274.44x = 1,212,771,597.44
  5. Step 5: Solve for x
    x = 1,212,771,597.44/32,274.44
  6. Step 6: Final answer
    x = 37,576.84

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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.