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Finding the Fourth Proportional to 31,138.80, 46,643.40 and 17,271.60

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Solution

The fourth proportional to 31,138.80, 46,643.40 and 17,271.60 is: 25,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138.80 : 46,643.40 = 17,271.60 : x
  2. Step 2: Convert to fraction form
    31,138.80/46,643.40 = 17,271.60/x
  3. Step 3: Cross multiply
    31,138.80x = 46,643.40 × 17,271.60
  4. Step 4: Simplify right side
    31,138.80x = 805,606,147.44
  5. Step 5: Solve for x
    x = 805,606,147.44/31,138.80
  6. Step 6: Final answer
    x = 25,871.46

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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.