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Finding the Fourth Proportional to 31,262.31, 46,871.60 and 15,671.43

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Solution

The fourth proportional to 31,262.31, 46,871.60 and 15,671.43 is: 23,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.31 : 46,871.60 = 15,671.43 : x
  2. Step 2: Convert to fraction form
    31,262.31/46,871.60 = 15,671.43/x
  3. Step 3: Cross multiply
    31,262.31x = 46,871.60 × 15,671.43
  4. Step 4: Simplify right side
    31,262.31x = 734,544,920.03
  5. Step 5: Solve for x
    x = 734,544,920.03/31,262.31
  6. Step 6: Final answer
    x = 23,496.18

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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.