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Finding the Fourth Proportional to 31,305.68, 46,958.51 and 16,309.68

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Solution

The fourth proportional to 31,305.68, 46,958.51 and 16,309.68 is: 24,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.68 : 46,958.51 = 16,309.68 : x
  2. Step 2: Convert to fraction form
    31,305.68/46,958.51 = 16,309.68/x
  3. Step 3: Cross multiply
    31,305.68x = 46,958.51 × 16,309.68
  4. Step 4: Simplify right side
    31,305.68x = 765,878,189.83
  5. Step 5: Solve for x
    x = 765,878,189.83/31,305.68
  6. Step 6: Final answer
    x = 24,464.52

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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.