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Finding the Fourth Proportional to 47,405.84, 71,085.24 and 27,689.36

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Solution

The fourth proportional to 47,405.84, 71,085.24 and 27,689.36 is: 41,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,405.84 : 71,085.24 = 27,689.36 : x
  2. Step 2: Convert to fraction form
    47,405.84/71,085.24 = 27,689.36/x
  3. Step 3: Cross multiply
    47,405.84x = 71,085.24 × 27,689.36
  4. Step 4: Simplify right side
    47,405.84x = 1,968,304,801.05
  5. Step 5: Solve for x
    x = 1,968,304,801.05/47,405.84
  6. Step 6: Final answer
    x = 41,520.30

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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.