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Finding the Fourth Proportional to 31,205.81, 46,820.39 and 16,203.56

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Solution

The fourth proportional to 31,205.81, 46,820.39 and 16,203.56 is: 24,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.81 : 46,820.39 = 16,203.56 : x
  2. Step 2: Convert to fraction form
    31,205.81/46,820.39 = 16,203.56/x
  3. Step 3: Cross multiply
    31,205.81x = 46,820.39 × 16,203.56
  4. Step 4: Simplify right side
    31,205.81x = 758,656,683.47
  5. Step 5: Solve for x
    x = 758,656,683.47/31,205.81
  6. Step 6: Final answer
    x = 24,311.40

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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.