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Finding the Fourth Proportional to 31,172.72, 46,770.60 and 11,464.16

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Solution

The fourth proportional to 31,172.72, 46,770.60 and 11,464.16 is: 17,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.72 : 46,770.60 = 11,464.16 : x
  2. Step 2: Convert to fraction form
    31,172.72/46,770.60 = 11,464.16/x
  3. Step 3: Cross multiply
    31,172.72x = 46,770.60 × 11,464.16
  4. Step 4: Simplify right side
    31,172.72x = 536,185,641.70
  5. Step 5: Solve for x
    x = 536,185,641.70/31,172.72
  6. Step 6: Final answer
    x = 17,200.48

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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.