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Finding the Fourth Proportional to 31,164.93, 46,761.09 and 16,370.49

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Solution

The fourth proportional to 31,164.93, 46,761.09 and 16,370.49 is: 24,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.93 : 46,761.09 = 16,370.49 : x
  2. Step 2: Convert to fraction form
    31,164.93/46,761.09 = 16,370.49/x
  3. Step 3: Cross multiply
    31,164.93x = 46,761.09 × 16,370.49
  4. Step 4: Simplify right side
    31,164.93x = 765,501,956.23
  5. Step 5: Solve for x
    x = 765,501,956.23/31,164.93
  6. Step 6: Final answer
    x = 24,562.93

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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.