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Finding the Fourth Proportional to 57,084.88, 78,776.44 and 31,589.32

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Solution

The fourth proportional to 57,084.88, 78,776.44 and 31,589.32 is: 43,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084.88 : 78,776.44 = 31,589.32 : x
  2. Step 2: Convert to fraction form
    57,084.88/78,776.44 = 31,589.32/x
  3. Step 3: Cross multiply
    57,084.88x = 78,776.44 × 31,589.32
  4. Step 4: Simplify right side
    57,084.88x = 2,488,494,171.62
  5. Step 5: Solve for x
    x = 2,488,494,171.62/57,084.88
  6. Step 6: Final answer
    x = 43,592.88

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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.