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Finding the Fourth Proportional to 31,271.64, 43,154.07 and 17,474.09

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Solution

The fourth proportional to 31,271.64, 43,154.07 and 17,474.09 is: 24,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271.64 : 43,154.07 = 17,474.09 : x
  2. Step 2: Convert to fraction form
    31,271.64/43,154.07 = 17,474.09/x
  3. Step 3: Cross multiply
    31,271.64x = 43,154.07 × 17,474.09
  4. Step 4: Simplify right side
    31,271.64x = 754,077,920.36
  5. Step 5: Solve for x
    x = 754,077,920.36/31,271.64
  6. Step 6: Final answer
    x = 24,113.80

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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.