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Finding the Fourth Proportional to 31,231.68, 46,854.08 and 16,432.48

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Solution

The fourth proportional to 31,231.68, 46,854.08 and 16,432.48 is: 24,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.68 : 46,854.08 = 16,432.48 : x
  2. Step 2: Convert to fraction form
    31,231.68/46,854.08 = 16,432.48/x
  3. Step 3: Cross multiply
    31,231.68x = 46,854.08 × 16,432.48
  4. Step 4: Simplify right side
    31,231.68x = 769,928,732.52
  5. Step 5: Solve for x
    x = 769,928,732.52/31,231.68
  6. Step 6: Final answer
    x = 24,652.17

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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.