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Finding the Fourth Proportional to 31,589.46, 43,592.88 and 17,442

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Solution

The fourth proportional to 31,589.46, 43,592.88 and 17,442 is: 24,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.46 : 43,592.88 = 17,442 : x
  2. Step 2: Convert to fraction form
    31,589.46/43,592.88 = 17,442/x
  3. Step 3: Cross multiply
    31,589.46x = 43,592.88 × 17,442
  4. Step 4: Simplify right side
    31,589.46x = 760,347,078.37
  5. Step 5: Solve for x
    x = 760,347,078.37/31,589.46
  6. Step 6: Final answer
    x = 24,069.64

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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.