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Finding the Fourth Proportional to 31,493.36, 47,009.62 and 27,756.80

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Solution

The fourth proportional to 31,493.36, 47,009.62 and 27,756.80 is: 41,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.36 : 47,009.62 = 27,756.80 : x
  2. Step 2: Convert to fraction form
    31,493.36/47,009.62 = 27,756.80/x
  3. Step 3: Cross multiply
    31,493.36x = 47,009.62 × 27,756.80
  4. Step 4: Simplify right side
    31,493.36x = 1,304,836,620.42
  5. Step 5: Solve for x
    x = 1,304,836,620.42/31,493.36
  6. Step 6: Final answer
    x = 41,432.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.