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Finding the Fourth Proportional to 31,171.04, 46,756.08 and 7,797.44

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Solution

The fourth proportional to 31,171.04, 46,756.08 and 7,797.44 is: 11,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.04 : 46,756.08 = 7,797.44 : x
  2. Step 2: Convert to fraction form
    31,171.04/46,756.08 = 7,797.44/x
  3. Step 3: Cross multiply
    31,171.04x = 46,756.08 × 7,797.44
  4. Step 4: Simplify right side
    31,171.04x = 364,577,728.44
  5. Step 5: Solve for x
    x = 364,577,728.44/31,171.04
  6. Step 6: Final answer
    x = 11,696.04

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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.