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Finding the Fourth Proportional to 31,173.31, 46,735.50 and 14,531.14

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Solution

The fourth proportional to 31,173.31, 46,735.50 and 14,531.14 is: 21,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173.31 : 46,735.50 = 14,531.14 : x
  2. Step 2: Convert to fraction form
    31,173.31/46,735.50 = 14,531.14/x
  3. Step 3: Cross multiply
    31,173.31x = 46,735.50 × 14,531.14
  4. Step 4: Simplify right side
    31,173.31x = 679,120,093.47
  5. Step 5: Solve for x
    x = 679,120,093.47/31,173.31
  6. Step 6: Final answer
    x = 21,785.31

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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.